Question 1

$\mathrm{A} C D$ has a diameter of $12.0 \mathrm{~cm}$. If the $C D$ is rotating with a constant period of 0.314 seconds, then the frequency of the rotational motion is

Accepted Answer

A)  $3.18 \mathrm{~Hz}$. 
B)  $2.15 \mathrm{~Hz}$. 
C)  $2.83 \mathrm{~Hz}$. 
D)  $3.67 \mathrm{~Hz}$. 
E)  $4.00 \mathrm{~Hz}$. 
A)  $3.18 \mathrm{~Hz}$. 
B)  $2.15 \mathrm{~Hz}$. 
C)  $2.83 \mathrm{~Hz}$. 
D)  $3.67 \mathrm{~Hz}$. 
E)  $4.00 \mathrm{~Hz}$.

Question 2

A boy on a bicycle rides in a circle of radius $r_{0}$ at speed $v_{0}$. If the boy rides at the same radius $r_{0}$, by what approximate factor must he change his speed in order to triple his radial acceleration?

Accepted Answer

A)  9.0 
B)  3.0 
C)  0.33 
D)  1.7 
E)  0.58
F) 0.11 
A)  9.0 
B)  3.0 
C)  0.33 
D)  1.7 
E)  0.58
F) 0.11

Question 3

$\mathrm{A} C D$ has a diameter of $12.0 \mathrm{~cm}$. If the $\mathrm{CD}$ is rotating at a constant frequency of $3.18 \mathrm{~Hz}$, then the period of the rotational motion is

Accepted Answer

A)  $0.441 \mathrm{~s}$. 
B)  $0.582 \mathrm{~s}$. 
C)  $0.698 \mathrm{~s}$. 
D)  $0.750 \mathrm{~s}$. 
E)  $0.314 \mathrm{~s}$. 
A)  $0.441 \mathrm{~s}$. 
B)  $0.582 \mathrm{~s}$. 
C)  $0.698 \mathrm{~s}$. 
D)  $0.750 \mathrm{~s}$. 
E)  $0.314 \mathrm{~s}$.

Question 4

A CD with a diameter of $12.0 \mathrm{~cm}$ starts from rest and with a constant angular acceleration of $1.0 \mathrm{rad} / \mathrm{sec}^{2}$ acquires an angular velocity of $5.0 \mathrm{rad} / \mathrm{sec}$. The CD continues rotating at $5.0 \mathrm{rad} / \mathrm{sec}$ for 15.0 seconds and then slows to a stop in 12.0 second with a constant angular acceleration. What is the radial acceleration of a point $4.0 \mathrm{~cm}$ from the center at the time 2.0 seconds from the start?

Accepted Answer

A)  $0.21 \mathrm{~m} / \mathrm{s}^{2}$ 
B)  $0.28 \mathrm{~m} / \mathrm{s}^{2}$ 
C)  $0.30 \mathrm{~m} / \mathrm{s}^{2}$ 
D)  $0.37 \mathrm{~m} / \mathrm{s}^{2}$ 
E)  $0.16 \mathrm{~m} / \mathrm{s}^{2}$ 
A)  $0.21 \mathrm{~m} / \mathrm{s}^{2}$ 
B)  $0.28 \mathrm{~m} / \mathrm{s}^{2}$ 
C)  $0.30 \mathrm{~m} / \mathrm{s}^{2}$ 
D)  $0.37 \mathrm{~m} / \mathrm{s}^{2}$ 
E)  $0.16 \mathrm{~m} / \mathrm{s}^{2}$

Question 5

A CD with a diameter of $12.0 \mathrm{~cm}$ starts from rest and with a constant angular acceleration of $1.00 \mathrm{rad} / \mathrm{sec}^{2}$ acquires an angular velocity of $5.00 \mathrm{rad} / \mathrm{sec}$. The CD continues rotating at $5.00 \mathrm{rad} / \mathrm{sec}$ for 15.0 seconds and then slows to a stop in 12.0 second with a constant angular acceleration. What is the magnitude of the (total) acceleration of a point $4.00 \mathrm{~cm}$ from the center at the time 30.0 seconds from the start?

Accepted Answer

A)  $0.0324 \mathrm{~m} / \mathrm{s}^{2}$ 
B)  $0.0444 \mathrm{~m} / \mathrm{s}^{2}$ 
C)  $0.0650 \mathrm{~m} / \mathrm{s}^{2}$ 
D)  $0.0522 \mathrm{~m} / \mathrm{s}^{2}$ 
E)  $0.0243 \mathrm{~m} / \mathrm{s}^{2}$ 
A)  $0.0324 \mathrm{~m} / \mathrm{s}^{2}$ 
B)  $0.0444 \mathrm{~m} / \mathrm{s}^{2}$ 
C)  $0.0650 \mathrm{~m} / \mathrm{s}^{2}$ 
D)  $0.0522 \mathrm{~m} / \mathrm{s}^{2}$ 
E)  $0.0243 \mathrm{~m} / \mathrm{s}^{2}$

Question 6

A CD with a diameter of $12.0 \mathrm{~cm}$ starts from rest and with a constant angular acceleration of $1.0 \mathrm{rad} / \mathrm{sec}^{2}$ acquires an angular velocity of $5.0 \mathrm{rad} / \mathrm{sec}$. The CD continues rotating at $5.0 \mathrm{rad} / \mathrm{sec}$ for $15 \mathrm{~seconds}$ and then slows to a stop in 12.0 second with a constant angular acceleration. What is the angular distance traveled by a point $4.0 \mathrm{~cm}$ from the center, at the time 2.0 seconds from the start?

Accepted Answer

A)  $2.0 \mathrm{rad}$ 
B)  $6.0 \mathrm{rad}$ 
C)  $10.0 \mathrm{rad}$ 
D)  $8.0 \mathrm{rad}$ 
E)  $4.0 \mathrm{rad}$ 
A)  $2.0 \mathrm{rad}$ 
B)  $6.0 \mathrm{rad}$ 
C)  $10.0 \mathrm{rad}$ 
D)  $8.0 \mathrm{rad}$ 
E)  $4.0 \mathrm{rad}$

Question 7

A CD with a diameter of $12.0 \mathrm{~cm}$ starts from rest and with a constant angular acceleration of $1.0 \mathrm{rad} / \mathrm{sec}^{2}$ acquires an angular velocity of $5.0 \mathrm{rad} / \mathrm{sec}$. The CD continues rotating at $5.0 \mathrm{rad} / \mathrm{sec}$ for 15.0 seconds and then slows to a stop in 12.0 second with a constant angular acceleration. What is the linear speed of a point $4.0 \mathrm{~cm}$ from the center at the time 2.0 seconds from the start?

Accepted Answer

A)  $0.18 \mathrm{~m} / \mathrm{s}$ 
B)  $0.060 \mathrm{~m} / \mathrm{s}$ 
C)  $0.080 \mathrm{~m} / \mathrm{s}$ 
D)  $0.10 \mathrm{~m} / \mathrm{s}$ 
E)  $0.14 \mathrm{~m} / \mathrm{s}$ 
A)  $0.18 \mathrm{~m} / \mathrm{s}$ 
B)  $0.060 \mathrm{~m} / \mathrm{s}$ 
C)  $0.080 \mathrm{~m} / \mathrm{s}$ 
D)  $0.10 \mathrm{~m} / \mathrm{s}$ 
E)  $0.14 \mathrm{~m} / \mathrm{s}$

Question 8

A CD with a diameter of $12.0 \mathrm{~cm}$ starts from rest and with a constant angular acceleration of $1.00 \mathrm{rad} / \mathrm{sec}^{2}$ acquires an angular velocity of $5.00 \mathrm{rad} / \mathrm{sec}$. The CD continues rotating at $5.00 \mathrm{rad} / \mathrm{sec}$ for 15.0 seconds and then slows to a stop in 12.0 second with a constant angular acceleration. What is the magnitude of the (total) acceleration of a point $4.00 \mathrm{~cm}$ from the center at the time 2.00 seconds from the start?

Accepted Answer

A)  $0.100 \mathrm{~m} / \mathrm{s}^{2}$ 
B)  $0.450 \mathrm{~m} / \mathrm{s}^{2}$ 
C)  $0.314 \mathrm{~m} / \mathrm{s}^{2}$ 
D)  $0.165 \mathrm{~m} / \mathrm{s}^{2}$ 
E)  $0.215 \mathrm{~m} / \mathrm{s}^{2}$ 
A)  $0.100 \mathrm{~m} / \mathrm{s}^{2}$ 
B)  $0.450 \mathrm{~m} / \mathrm{s}^{2}$ 
C)  $0.314 \mathrm{~m} / \mathrm{s}^{2}$ 
D)  $0.165 \mathrm{~m} / \mathrm{s}^{2}$ 
E)  $0.215 \mathrm{~m} / \mathrm{s}^{2}$

Question 9

The Crab Pulsar is a neutron star, rotating with a period of about $33.085 \mathrm{~ms}$. It is estimated to have an equatorial radius of $15 \mathrm{~km}$, about average for a neutron star. The pulsar is slowing in its rotation so that it is expected to come to rest $9.5 \times 10^{10} \mathrm{~s}$ in the future. What is the magnitude of the average angular acceleration in this situation?

Accepted Answer

A)  $3.2 \times 10^{-10} \mathrm{rad} / \mathrm{s}^{2}$ 
B)  $2.0 \times 10^{-9} \mathrm{rad} / \mathrm{s}^{2}$ 
C)  $3.0 \times 10^{-5} \mathrm{rad} / \mathrm{s}^{2}$ 
D)  $7.6 \times 10^{-7} \mathrm{rad} / \mathrm{s}^{2}$ 
E)  $4.8 \times 10^{-6} \mathrm{rad} / \mathrm{s}^{2}$ 
A)  $3.2 \times 10^{-10} \mathrm{rad} / \mathrm{s}^{2}$ 
B)  $2.0 \times 10^{-9} \mathrm{rad} / \mathrm{s}^{2}$ 
C)  $3.0 \times 10^{-5} \mathrm{rad} / \mathrm{s}^{2}$ 
D)  $7.6 \times 10^{-7} \mathrm{rad} / \mathrm{s}^{2}$ 
E)  $4.8 \times 10^{-6} \mathrm{rad} / \mathrm{s}^{2}$

Question 10

A CD with a diameter of $12.0 \mathrm{~cm}$ starts from rest and with a constant angular acceleration of $1.0 \mathrm{rad} / \mathrm{sec}^{2}$ acquires an angular velocity of $5.0 \mathrm{rad} / \mathrm{sec}$. The CD continues rotating at $5.0 \mathrm{rad} / \mathrm{sec}$ for 15.0 seconds and then slows to a stop in 12.0 second with a constant angular acceleration. What is the radial acceleration of a point $4.0 \mathrm{~cm}$ from the center at the time 25.0 seconds from the start?

Accepted Answer

A)  $0.47 \mathrm{~m} / \mathrm{s}^{2}$ 
B)  $0.34 \mathrm{~m} / \mathrm{s}^{2}$ 
C)  $0.40 \mathrm{~m} / \mathrm{s}^{2}$ 
D)  $0.24 \mathrm{~m} / \mathrm{s}^{2}$ 
E)  $0.20 \mathrm{~m} / \mathrm{s}^{2}$ 
A)  $0.47 \mathrm{~m} / \mathrm{s}^{2}$ 
B)  $0.34 \mathrm{~m} / \mathrm{s}^{2}$ 
C)  $0.40 \mathrm{~m} / \mathrm{s}^{2}$ 
D)  $0.24 \mathrm{~m} / \mathrm{s}^{2}$ 
E)  $0.20 \mathrm{~m} / \mathrm{s}^{2}$

Question 11

A 5,000 kg satellite is orbiting the Earth in a circular path. The height of the satellite above the surface of the Earth is $800 \mathrm{~km}$. The speed of the satellite is $\left(\mathrm{M}_{\mathrm{E}}=5.98 \times 10^{24} \mathrm{~kg}, \mathrm{R}_{\mathrm{E}}=6.37 \times 10^{6} \mathrm{~m}, \mathrm{G}=6.67 \times 10^{-11}\right.$ $\left.\mathrm{N} \cdot \mathrm{m}^{2} / \mathrm{kg}^{2}\right)$

Accepted Answer

A)  $5,950 \mathrm{~m} / \mathrm{s}$ 
B)  $7,460 \mathrm{~m} / \mathrm{s}$. 
C)  $6,430 \mathrm{~m} / \mathrm{s}$. 
D)  $5,350 \mathrm{~m} / \mathrm{s}$. 
E)  $6,830 \mathrm{~m} / \mathrm{s}$. 
A)  $5,950 \mathrm{~m} / \mathrm{s}$ 
B)  $7,460 \mathrm{~m} / \mathrm{s}$. 
C)  $6,430 \mathrm{~m} / \mathrm{s}$. 
D)  $5,350 \mathrm{~m} / \mathrm{s}$. 
E)  $6,830 \mathrm{~m} / \mathrm{s}$.

Question 12

A CD has a diameter of $12.0 \mathrm{~cm}$ and is rotating at an angular velocity of $10.0 \mathrm{rad} / \mathrm{sec}$. If the $\mathrm{CD}$ has a constant angular acceleration of $-0.5 \mathrm{rad} / \mathrm{sec}^{2}$, then the angular velocity of the $\mathrm{CD}$ after $3.0 \mathrm{sec}$ is

Accepted Answer

A)  $6.2 \mathrm{rad} / \mathrm{s}$. 
B)  $9.8 \mathrm{rad} / \mathrm{s}$. 
C)  $8.5 \mathrm{rad} / \mathrm{s}$. 
D)  $7.9 \mathrm{rad} / \mathrm{s}$. 
E)  $5.7 \mathrm{rad} / \mathrm{s}$. 
A)  $6.2 \mathrm{rad} / \mathrm{s}$. 
B)  $9.8 \mathrm{rad} / \mathrm{s}$. 
C)  $8.5 \mathrm{rad} / \mathrm{s}$. 
D)  $7.9 \mathrm{rad} / \mathrm{s}$. 
E)  $5.7 \mathrm{rad} / \mathrm{s}$.

Question 13

The Crab Pulsar is a neutron star, rotating with a period of about $33.085 \mathrm{~ms}$. It is estimated to have an equatorial radius of $15 \mathrm{~km}$, about average for a neutron star. The pulsar is slowing in its rotation so that it is expected to come to rest $9.5 \times 1010 \mathrm{~s}$ in the future. Assuming it is slowing with a constant angular acceleration, what is the tangential acceleration of an object on the neutron star's equator?

Accepted Answer

A)  $3.2 \times 10^{-10} \mathrm{~m} / \mathrm{s}^{2}$ 
B)  $2.0 \times 10^{-9} \mathrm{~m} / \mathrm{s}^{2}$ 
C)  $4.8 \times 10^{-6} \mathrm{~m} / \mathrm{s}^{2}$ 
D)  $3.0 \times 10^{-5} \mathrm{~m} / \mathrm{s}^{2}$ 
E)  $7.6 \times 10^{-7} \mathrm{~m} / \mathrm{s}^{2}$ 
A)  $3.2 \times 10^{-10} \mathrm{~m} / \mathrm{s}^{2}$ 
B)  $2.0 \times 10^{-9} \mathrm{~m} / \mathrm{s}^{2}$ 
C)  $4.8 \times 10^{-6} \mathrm{~m} / \mathrm{s}^{2}$ 
D)  $3.0 \times 10^{-5} \mathrm{~m} / \mathrm{s}^{2}$ 
E)  $7.6 \times 10^{-7} \mathrm{~m} / \mathrm{s}^{2}$

Question 14

$\mathrm{A} C D$ has a diameter of $12.0 \mathrm{~cm}$. If the $\mathrm{CD}$ is rotating at a constant angular speed of 20.0 radians per second, then the period of the rotational motion is

Accepted Answer

A)  $0.421 \mathrm{~s}$. 
B)  $0.143 \mathrm{~s}$. 
C)  $0.224 \mathrm{~s}$. 
D)  $0.314 \mathrm{~s}$. 
E)  $0.558 \mathrm{~s}$. 
A)  $0.421 \mathrm{~s}$. 
B)  $0.143 \mathrm{~s}$. 
C)  $0.224 \mathrm{~s}$. 
D)  $0.314 \mathrm{~s}$. 
E)  $0.558 \mathrm{~s}$.

Question 15

A boy on a bicycle rides in a circle of radius $r_{0}$ at speed $v_{0}$. If the boy now rides at a radius equal to half the initial radius $r_{\mathrm{o}}$, by what approximate factor must he change his speed in order to have the same radial acceleration?

Accepted Answer

A)  0.25 
B)  2 
C)  0.71 
D)  4 
E)  0.5
F) 1.4 
A)  0.25 
B)  2 
C)  0.71 
D)  4 
E)  0.5
F) 1.4

Question 16

A CD with a diameter of $12.0 \mathrm{~cm}$ starts from rest and with a constant angular acceleration of $1.00 \mathrm{rad} / \mathrm{sec}^{2}$ acquires an angular velocity of $5.00 \mathrm{rad} / \mathrm{sec}$. The CD continues rotating at $5.00 \mathrm{rad} / \mathrm{sec}$ for $15.0 \mathrm{~seconds}$ and then slows to a stop in 12.0 second with a constant angular acceleration. What is the angular distance traveled by a point $4.00 \mathrm{~cm}$ from the center, at the time 10.0 seconds from the start?

Accepted Answer

A)  $27.6 \mathrm{rad}$ 
B)  $48.2 \mathrm{rad}$ 
C)  $40.7 \mathrm{rad}$ 
D)  $51.2 \mathrm{rad}$ 
E)  $37.5 \mathrm{rad}$ 
A)  $27.6 \mathrm{rad}$ 
B)  $48.2 \mathrm{rad}$ 
C)  $40.7 \mathrm{rad}$ 
D)  $51.2 \mathrm{rad}$ 
E)  $37.5 \mathrm{rad}$

Question 17

An object is moving in a circular path of radius $4.00 \mathrm{~m}$. If the object moves through an angle of 1.2 radians, then the tangential distance traveled by the object is

Accepted Answer

A)  $4.8 \mathrm{~m}$. 
B)  $3.8 \mathrm{~m}$. 
C)  $2.8 \mathrm{~m}$. 
D)  $4.3 \mathrm{~m}$. 
E)  $3.2 \mathrm{~m}$. 
A)  $4.8 \mathrm{~m}$. 
B)  $3.8 \mathrm{~m}$. 
C)  $2.8 \mathrm{~m}$. 
D)  $4.3 \mathrm{~m}$. 
E)  $3.2 \mathrm{~m}$.

Question 18

$\mathrm{A} C D$ has a diameter of $12.0 \mathrm{~cm}$. If the $\mathrm{CD}$ is rotating at a constant frequency of 6.00 rotations per second, then the angular speed is

Accepted Answer

A)  $26.9 \mathrm{rad} / \mathrm{s}$. 
B)  $21.5 \mathrm{rad} / \mathrm{s}$. 
C)  $37.7 \mathrm{rad} / \mathrm{s}$. 
D)  $33.3 \mathrm{rad} / \mathrm{s}$. 
E)  $29.6 \mathrm{rad} / \mathrm{s}$. 
A)  $26.9 \mathrm{rad} / \mathrm{s}$. 
B)  $21.5 \mathrm{rad} / \mathrm{s}$. 
C)  $37.7 \mathrm{rad} / \mathrm{s}$. 
D)  $33.3 \mathrm{rad} / \mathrm{s}$. 
E)  $29.6 \mathrm{rad} / \mathrm{s}$.

Question 19

$\mathrm{A} C D$ has a diameter of $12.0 \mathrm{~cm}$. If the $\mathrm{CD}$ starts from rest and has a constant angular acceleration of 2.00 $\mathrm{rad} / \mathrm{sec}^{2}$, then the radial acceleration of a point $3.00 \mathrm{~cm}$ from the center of the CD after $3.00 \mathrm{sec}$ is

Accepted Answer

A)  $1.58 \mathrm{~m} / \mathrm{s}^{2}$. 
B)  $0.950 \mathrm{~m} / \mathrm{s}^{2}$. 
C)  $1.25 \mathrm{~m} / \mathrm{s}^{2}$. 
D)  $1.08 \mathrm{~m} / \mathrm{s}^{2}$. 
E)  $1.83 \mathrm{~m} / \mathrm{s}^{2}$. 
A)  $1.58 \mathrm{~m} / \mathrm{s}^{2}$. 
B)  $0.950 \mathrm{~m} / \mathrm{s}^{2}$. 
C)  $1.25 \mathrm{~m} / \mathrm{s}^{2}$. 
D)  $1.08 \mathrm{~m} / \mathrm{s}^{2}$. 
E)  $1.83 \mathrm{~m} / \mathrm{s}^{2}$.

Question 20

A CD with a diameter of $12.0 \mathrm{~cm}$ starts from rest and with a constant angular acceleration of $1.0 \mathrm{rad} / \mathrm{sec}^{2}$ acquires an angular velocity of $5.0 \mathrm{rad} / \mathrm{sec}$. The CD continues rotating at $5.0 \mathrm{rad} / \mathrm{sec}$ for 15.0 seconds and then slows to a stop in 12.0 second with a constant angular acceleration. What is the linear speed of a point $4.0 \mathrm{~cm}$ from the center at the time 10.0 seconds from the start?

Accepted Answer

A)  $0.20 \mathrm{~m} / \mathrm{s}$ 
B)  $0.40 \mathrm{~m} / \mathrm{s}$ 
C)  $0.50 \mathrm{~m} / \mathrm{s}$ 
D)  $0.30 \mathrm{~m} / \mathrm{s}$ 
E)  $0.10 \mathrm{~m} / \mathrm{s}$ 
A)  $0.20 \mathrm{~m} / \mathrm{s}$ 
B)  $0.40 \mathrm{~m} / \mathrm{s}$ 
C)  $0.50 \mathrm{~m} / \mathrm{s}$ 
D)  $0.30 \mathrm{~m} / \mathrm{s}$ 
E)  $0.10 \mathrm{~m} / \mathrm{s}$

$\mathrm{A} C D$ has a diameter of $12.0 \mathrm{~cm}$ . If the $C D$ is rotating with a constant period of 0.314 seconds, then the frequency of the rotational motion is

A boy on a bicycle rides in a circle of radius $r_{0}$ at speed $v_{0}$ . If the boy rides at the same radius $r_{0}$ , by what approximate factor must he change his speed in order to triple his radial acceleration?

$\mathrm{A} C D$ has a diameter of $12.0 \mathrm{~cm}$ . If the $\mathrm{CD}$ is rotating at a constant frequency of $3.18 \mathrm{~Hz}$ , then the period of the rotational motion is

A CD has a diameter of $12.0 \mathrm{~cm}$ and is rotating at an angular velocity of $10.0 \mathrm{rad} / \mathrm{sec}$ . If the $\mathrm{CD}$ has a constant angular acceleration of $-0.5 \mathrm{rad} / \mathrm{sec}^{2}$ , then the angular velocity of the $\mathrm{CD}$ after $3.0 \mathrm{sec}$ is

$\mathrm{A} C D$ has a diameter of $12.0 \mathrm{~cm}$ . If the $\mathrm{CD}$ is rotating at a constant angular speed of 20.0 radians per second, then the period of the rotational motion is

A boy on a bicycle rides in a circle of radius $r_{0}$ at speed $v_{0}$ . If the boy now rides at a radius equal to half the initial radius $r_{\mathrm{o}}$ , by what approximate factor must he change his speed in order to have the same radial acceleration?

An object is moving in a circular path of radius $4.00 \mathrm{~m}$ . If the object moves through an angle of 1.2 radians, then the tangential distance traveled by the object is

$\mathrm{A} C D$ has a diameter of $12.0 \mathrm{~cm}$ . If the $\mathrm{CD}$ is rotating at a constant frequency of 6.00 rotations per second, then the angular speed is

$\mathrm{A} C D$ has a diameter of $12.0 \mathrm{~cm}$ . If the $\mathrm{CD}$ starts from rest and has a constant angular acceleration of 2.00 $\mathrm{rad} / \mathrm{sec}^{2}$ , then the radial acceleration of a point $3.00 \mathrm{~cm}$ from the center of the CD after $3.00 \mathrm{sec}$ is

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Exam 5: Circular Motion

ACD\mathrm{A} C DACD has a diameter of 12.0 cm12.0 \mathrm{~cm}12.0 cm . If the CDC DCD is rotating with a constant period of 0.314 seconds, then the frequency of the rotational motion is

A boy on a bicycle rides in a circle of radius r0r_{0}r0​ at speed v0v_{0}v0​ . If the boy rides at the same radius r0r_{0}r0​ , by what approximate factor must he change his speed in order to triple his radial acceleration?

ACD\mathrm{A} C DACD has a diameter of 12.0 cm12.0 \mathrm{~cm}12.0 cm . If the CD\mathrm{CD}CD is rotating at a constant frequency of 3.18 Hz3.18 \mathrm{~Hz}3.18 Hz , then the period of the rotational motion is

ACD\mathrm{A} C DACD has a diameter of 12.0 cm12.0 \mathrm{~cm}12.0 cm . If the CD\mathrm{CD}CD is rotating at a constant angular speed of 20.0 radians per second, then the period of the rotational motion is

A boy on a bicycle rides in a circle of radius r0r_{0}r0​ at speed v0v_{0}v0​ . If the boy now rides at a radius equal to half the initial radius ror_{\mathrm{o}}ro​ , by what approximate factor must he change his speed in order to have the same radial acceleration?

An object is moving in a circular path of radius 4.00 m4.00 \mathrm{~m}4.00 m . If the object moves through an angle of 1.2 radians, then the tangential distance traveled by the object is

ACD\mathrm{A} C DACD has a diameter of 12.0 cm12.0 \mathrm{~cm}12.0 cm . If the CD\mathrm{CD}CD is rotating at a constant frequency of 6.00 rotations per second, then the angular speed is