At t = 0, a wheel rotating about a fixed axis at a constant angular acceleration of −0.40 rad/s2 has an angular velocity of 1.5 rad/s and an angular position of 2.3 rad. What is the angular position of the wheel at t = 2.0 s?

A) 4.9 rad B) 4.7 rad C) 4.5 rad D) 4.3 rad E) 4.1 rad A) 4.9 rad B) 4.7 rad C) 4.5 rad D) 4.3 rad E) 4.1 rad C

The graph below shows a plot of angular acceleration in rad/s2 versus time from t = 0 s to t = 8 s. The change in angular velocity, Δω, during this 8-second period is

A) , CW. B) , CCW. C) , CW. D) , CCW. E) , CW. A) , CW. B) , CCW. C) , CW. D) , CCW. E) , CW.

A wheel rotating about a fixed axis has an angular position given by θ = 3.0 − 2.0t3, where θ is measured in radians and t in seconds. What is the angular acceleration of the wheel at t = 2.0 s?

A) −1.0 rad/s2 B) −24 rad/s2 C) −2.0 rad/s2 D) −4.0 rad/s2 E) −3.5 rad/s2 A) −1.0 rad/s2 B) −24 rad/s2 C) −2.0 rad/s2 D) −4.0 rad/s2 E) −3.5 rad/s2

Exam 12: Rotation I: Kinematics and Dynamics

The figure below shows a graph of angular velocity versus time for a woman bicycling around a circular track. Use this exhibit to answer the following question(s). -How many revolutions does she complete in the 16-minute period?

Free

(Multiple Choice)

5.0/5

(36)

Question 1

Correct Answer:

Verified

A wheel rotates about a fixed axis with a constant angular acceleration of 4.0 rad/s². The diameter of the wheel is 40 cm. What is the linear speed of a point on the rim of this wheel at an instant when that point has a total linear acceleration with a magnitude of 1.2 m/s²?

Free

(Multiple Choice)

4.8/5

(29)

Question 2

Correct Answer:

Verified

At t = 0, a wheel rotating about a fixed axis at a constant angular acceleration of −0.40 rad/s² has an angular velocity of 1.5 rad/s and an angular position of 2.3 rad. What is the angular position of the wheel at t = 2.0 s?

Free

(Multiple Choice)

4.9/5

(26)

Question 3

Correct Answer:

Verified

A wheel rotating about a fixed axis has a constant angular acceleration of 4.0 rad/s². In a 4.0-s interval the wheel turns through an angle of 80 radians. Assuming the wheel started from rest, how long had it been in motion at the start of the 4.0-s interval?

(Multiple Choice)

4.9/5

(33)

Question 4

The figure below shows a graph of angular velocity versus time for a woman bicycling around a circular track. Use this exhibit to answer the following question(s). -What is her angular displacement (in rad) in the 16-minute period shown in the graph?

(Multiple Choice)

4.8/5

(35)

Question 5

The graph below shows a plot of angular velocity in rad/s versus time in s from t = 0 s to t = 7 s. Use this exhibit to answer the following question(s). -The change in angular position, Δθ, during the 7-second period is

(Multiple Choice)

4.9/5

(35)

Question 6

A wheel rotates about a fixed axis with an initial angular velocity of 20 rad/s. During a 5.0-s interval the angular velocity increases to 40 rad/s. Assume that the angular acceleration was constant during the 5.0-s interval. How many revolutions does the wheel turn through during the 5.0-s interval?

(Multiple Choice)

4.9/5

(29)

Question 7

Particles (mass of each = 0.20 kg) are placed at the 40-cm and 100-cm marks of a meter stick of negligible mass. This rigid body is free to rotate about a frictionless pivot at the 0-cm end. The body is released from rest in the horizontal position. What is the initial angular acceleration of the body?

(Multiple Choice)

4.9/5

(35)

Question 8

When a wheel is rolling without slipping, the magnitude of its velocity relative to the ground is greatest at

(Multiple Choice)

4.8/5

(28)

Question 9

The graph below shows a plot of angular acceleration in rad/s² versus time from t = 0 s to t = 8 s. The change in angular velocity, Δω, during this 8-second period is

(Multiple Choice)

4.7/5

(28)

Question 10

Which of the following diagrams shows the greatest magnitude net torque with a zero net force? All the rods, of length 2r, rotate about an axis that is perpendicular to the rod and fixed in the center of the rod. All the forces are of magnitude F or 2F and all distances from the axis are r or r/2.

(Multiple Choice)

4.8/5

(34)

Question 11

The angular speed of the hour hand of a clock, in rad/min, is

(Multiple Choice)

4.9/5

(40)

Question 12

A wheel (radius = 0.20 m) starts from rest and rotates with a constant angular acceleration of 2.0 rad/s². At the instant when the angular velocity is equal to 1.2 rad/s, what is the magnitude of the total linear acceleration of a point on the rim of the wheel?

(Multiple Choice)

4.8/5

(36)

Question 13

At t = 0, a wheel rotating about a fixed axis at a constant angular acceleration has an angular velocity of 2.0 rad/s. Two seconds later it has turned through 5.0 complete revolutions. What is the angular acceleration of this wheel?

(Multiple Choice)

4.9/5

(32)

Question 14

A uniform rod of length (L = 2.0 m) and mass (M = 1.5 kg) is pivoted about a horizontal frictionless pin through one end. The rod is released from rest at an angle of 30° below the horizontal. What is the angular speed of the rod when it passes through the vertical position? (The rotational inertia of the rod about the pin is 2.0 kg⋅m².)

(Multiple Choice)

4.9/5

(42)

Question 15

A uniform rod (length = 2.0 m) is mounted to rotate freely about a horizontal axis that is perpendicular to the rod and that passes through the rod at a point 0.50 m from one end of the rod. If the rod is released from rest in a horizontal position, what is the angular speed of the rod as it rotates through its lowest position?

(Multiple Choice)

4.9/5

(34)

Question 16

When the sum of the external forces and the sum of the external torques on a body are both zero, we can conclude that

(Multiple Choice)

4.9/5

(34)

Question 17

A disk (radius = 8.0 cm) that rotates about a fixed axis starts from rest and accelerates at a constant rate to an angular velocity of 4.0 rad/s in 2.0 s. What is the magnitude of the total linear acceleration of a point on the rim of the disk at the instant when the angular velocity of the disk is 1.5 rad/s?

(Multiple Choice)

4.7/5

(39)

Question 18

A wheel rotating about a fixed axis has an angular position given by θ = 3.0 − 2.0t³, where θ is measured in radians and t in seconds. What is the angular acceleration of the wheel at t = 2.0 s?

(Multiple Choice)

4.9/5

(38)

Question 19

A small sphere attached to a light rigid rod rotates about an axis perpendicular to and fixed to the other end of the rod. Relative to the positive direction of the axis of rotation, the angular positions of the sphere are negative, its angular velocity is negative, and its angular acceleration is negative. The sphere is

(Multiple Choice)

5.0/5

(47)

Question 20

Showing 1 - 20 of 65

Exam 12: Rotation I: Kinematics and Dynamics

The figure below shows a graph of angular velocity versus time for a woman bicycling around a circular track. ​ ​ Use this exhibit to answer the following question(s). -How many revolutions does she complete in the 16-minute period?

A wheel rotates about a fixed axis with a constant angular acceleration of 4.0 rad/s2. The diameter of the wheel is 40 cm. What is the linear speed of a point on the rim of this wheel at an instant when that point has a total linear acceleration with a magnitude of 1.2 m/s2?

At t = 0, a wheel rotating about a fixed axis at a constant angular acceleration of −0.40 rad/s2 has an angular velocity of 1.5 rad/s and an angular position of 2.3 rad. What is the angular position of the wheel at t = 2.0 s?

A wheel rotating about a fixed axis has a constant angular acceleration of 4.0 rad/s2. In a 4.0-s interval the wheel turns through an angle of 80 radians. Assuming the wheel started from rest, how long had it been in motion at the start of the 4.0-s interval?

The figure below shows a graph of angular velocity versus time for a woman bicycling around a circular track. ​ ​ Use this exhibit to answer the following question(s). -What is her angular displacement (in rad) in the 16-minute period shown in the graph?

The graph below shows a plot of angular velocity in rad/s versus time in s from t = 0 s to t = 7 s. ​ ​ Use this exhibit to answer the following question(s). -The change in angular position, Δθ, during the 7-second period is

When a wheel is rolling without slipping, the magnitude of its velocity relative to the ground is greatest at

The graph below shows a plot of angular acceleration in rad/s2 versus time from t = 0 s to t = 8 s. The change in angular velocity, Δω, during this 8-second period is

Which of the following diagrams shows the greatest magnitude net torque with a zero net force? All the rods, of length 2r, rotate about an axis that is perpendicular to the rod and fixed in the center of the rod. All the forces are of magnitude F or 2F and all distances from the axis are r or r/2.

The angular speed of the hour hand of a clock, in rad/min, is

A wheel (radius = 0.20 m) starts from rest and rotates with a constant angular acceleration of 2.0 rad/s2. At the instant when the angular velocity is equal to 1.2 rad/s, what is the magnitude of the total linear acceleration of a point on the rim of the wheel?

At t = 0, a wheel rotating about a fixed axis at a constant angular acceleration has an angular velocity of 2.0 rad/s. Two seconds later it has turned through 5.0 complete revolutions. What is the angular acceleration of this wheel?

When the sum of the external forces and the sum of the external torques on a body are both zero, we can conclude that

A wheel rotating about a fixed axis has an angular position given by θ = 3.0 − 2.0t3, where θ is measured in radians and t in seconds. What is the angular acceleration of the wheel at t = 2.0 s?

Getting Started

One-Dimensional Motion

Vectors

Two- and Three-Dimensional Motion

Newtons Laws of Motion

Applications of Newtons Laws of Motion

Gravity

Conservation of Energy

Energy in Nonisolated Systems

Systems of Particles and Conservation of Momentum

Collisions

Rotation II: a Conservation Approach

Static Equilibrium, Elasticity, and Fracture

Fluids

Oscillations

Traveling Waves

Superposition and Standing Waves

Temperature, Thermal Expansion, and Gas Laws

Kinetic Theory of Gases

Heat and the First Law of Thermodynamics

Entropy and the Second Law of Thermodynamics

Electric Forces

Electric Fields

Gausss Law

Electric Potential

Capacitors and Batteries

Current and Resistance

Direct Current Dc Circuits

Magnetic Fields and Forces

Gausss Law for Magnetism and Amperes Law

Faradays Law of Induction

Inductors and Ac Circuits

Maxwells Equations and Electromagnetic Waves

Diffraction and Interference

Applications of the Wave Model

Reflection and Images Formed by Reflection

Refraction and Images Formed by Refraction

Relativity

Filters

The figure below shows a graph of angular velocity versus time for a woman bicycling around a circular track. Use this exhibit to answer the following question(s). -How many revolutions does she complete in the 16-minute period?

A wheel rotates about a fixed axis with a constant angular acceleration of 4.0 rad/s². The diameter of the wheel is 40 cm. What is the linear speed of a point on the rim of this wheel at an instant when that point has a total linear acceleration with a magnitude of 1.2 m/s²?

At t = 0, a wheel rotating about a fixed axis at a constant angular acceleration of −0.40 rad/s² has an angular velocity of 1.5 rad/s and an angular position of 2.3 rad. What is the angular position of the wheel at t = 2.0 s?

A wheel rotating about a fixed axis has a constant angular acceleration of 4.0 rad/s². In a 4.0-s interval the wheel turns through an angle of 80 radians. Assuming the wheel started from rest, how long had it been in motion at the start of the 4.0-s interval?

The figure below shows a graph of angular velocity versus time for a woman bicycling around a circular track. Use this exhibit to answer the following question(s). -What is her angular displacement (in rad) in the 16-minute period shown in the graph?

The graph below shows a plot of angular velocity in rad/s versus time in s from t = 0 s to t = 7 s. Use this exhibit to answer the following question(s). -The change in angular position, Δθ, during the 7-second period is

The graph below shows a plot of angular acceleration in rad/s² versus time from t = 0 s to t = 8 s. The change in angular velocity, Δω, during this 8-second period is

A wheel (radius = 0.20 m) starts from rest and rotates with a constant angular acceleration of 2.0 rad/s². At the instant when the angular velocity is equal to 1.2 rad/s, what is the magnitude of the total linear acceleration of a point on the rim of the wheel?

A wheel rotating about a fixed axis has an angular position given by θ = 3.0 − 2.0t³, where θ is measured in radians and t in seconds. What is the angular acceleration of the wheel at t = 2.0 s?