A bowling ball has a mass of 7.0 kg,a moment of inertia of 2.8 × 10−2 kg·m2,and a radius of 0.10 m.If it rolls down the lane without slipping at a linear speed of 5.0 m/s,what is its angular speed?

A) 0.80 rad/s B) 50 rad/s C) 0.050 rad/s D) 40 rad/s A) 0.80 rad/s B) 50 rad/s C) 0.050 rad/s D) 40 rad/s

A bucket of water with total mass 30 kg is attached to a rope,which in turn is wound around a 0.050 m radius cylinder at the top of a well.A crank with a turning radius of 0.25 m is attached to the end of the cylinder and the moment of inertia of cylinder and crank is 0.12 kg×m2.If the bucket is raised to the top of the well and released,what is the acceleration of the bucket as it falls toward the bottom of the well? (Assume rope's mass is negligible,that cylinder turns on frictionless bearings and that g = 9.8 m/s2. )

A) 3.2 m/s2 B) 3.8 m/s2 C) 7.4 m/s2 D) 9.8 m/s2 A) 3.2 m/s2 B) 3.8 m/s2 C) 7.4 m/s2 D) 9.8 m/s2

A fan blade,initially at rest,rotates with a constant acceleration of 0.025 rad/s2.What is the time interval required for it to reach a 10-rad displacement after starting from rest?

A) 28 s B) 2.0 s C) 56 s D) 18 s A) 28 s B) 2.0 s C) 56 s D) 18 s

A Ferris wheel,rotating initially at an angular speed of 0.500 rad/s,accelerates over a 7.00-s interval at a rate of 0.0500 rad/s2.What angular displacement does the Ferris wheel undergo in this 7.00-s interval?

A) 4.48 rad B) 2.50 rad C) 4.73 rad D) 0.500 rad A) 4.48 rad B) 2.50 rad C) 4.73 rad D) 0.500 rad

A uniform bridge span weighs 70.0 × 103 N and is 40.0 m long.An automobile weighing 15.0 × 103 N is parked with its center of gravity located 12.0 m from the right pier.What upward support force does the right pier provide?

A) 24.5 × 103 N B) 35.5 × 103 N C) 65.0 × 103 N D) 45.5 × 103 N A) 24.5 × 103 N B) 35.5 × 103 N C) 65.0 × 103 N D) 45.5 × 103 N

Exam 8: Rotational Equilibrium and Rotational Dynamics: Part A

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A bowling ball has a mass of 7.0 kg,a moment of inertia of 2.8 × 10−² kg·m²,and a radius of 0.10 m.If it rolls down the lane without slipping at a linear speed of 5.0 m/s,what is its angular speed?

(Multiple Choice)

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Question 21

A bucket of water with total mass 23 kg is attached to a rope,which in turn,is wound around a 0.080-m radius cylinder at the top of a well.A crank with a turning radius of 0.25 m is attached to the end of the cylinder.What minimum force directed perpendicular to the crank handle is required to just raise the bucket? (Assume the rope's mass is negligible,that the cylinder turns on frictionless bearings,and that g = 9.8 m/s². )

(Multiple Choice)

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Question 22

A bucket of water with total mass 30 kg is attached to a rope,which in turn is wound around a 0.050 m radius cylinder at the top of a well.A crank with a turning radius of 0.25 m is attached to the end of the cylinder and the moment of inertia of cylinder and crank is 0.12 kg×m².If the bucket is raised to the top of the well and released,what is the acceleration of the bucket as it falls toward the bottom of the well? (Assume rope's mass is negligible,that cylinder turns on frictionless bearings and that g = 9.8 m/s². )

(Multiple Choice)

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Question 23

A fan blade,initially at rest,rotates with a constant acceleration of 0.025 rad/s².What is the time interval required for it to reach a 10-rad displacement after starting from rest?

(Multiple Choice)

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Question 24

A bucket of water with total mass 23 kg is attached to a rope,which in turn is wound around a 0.050-m radius cylinder at the top of a well.The bucket is raised to the top of the well and released.The bucket is moving with a speed of 6.0 m/s upon hitting the water surface in the well.What is the angular speed of the cylinder at this instant?

(Multiple Choice)

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Question 25

A 0.40-m radius automobile tire accelerates from rest at a constant 2.0 rad/s² over a 5.0 s interval.What is the tangential component of acceleration for a point on the outer edge of the tire during the 5.0-s interval?

(Multiple Choice)

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Question 26

An automobile accelerates from zero to 30 m/s in 6.0 s.The wheels have a diameter of 1.0 m.What is the average angular acceleration of each wheel?

(Multiple Choice)

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Question 27

A disk has a moment of inertia of 3.0 × 10−⁴ kg·m² and rotates with an angular speed of 3.5 rad/sec.What net torque must be applied to bring it to rest within 3.7 s?

(Multiple Choice)

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Question 28

A Ferris wheel,rotating initially at an angular speed of 0.500 rad/s,accelerates over a 7.00-s interval at a rate of 0.0500 rad/s².What angular displacement does the Ferris wheel undergo in this 7.00-s interval?

(Multiple Choice)

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Question 29

A Ferris wheel,rotating initially at an angular speed of 0.16 rad/s,accelerates over a 7.0-s interval at a rate of 0.050 rad/s².What is its angular speed after this 7.0-s interval?

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Question 30

The torque caused by a force F applied at a distance r from the axis of rotation,is given by τ = rFsinθ,where θ is the angle between And )If the magnitudes r and F remain the same,what other angle θ' will produce the same torque as was produced at angle θ if θ was less than 90°?

(Multiple Choice)

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Question 31

A ventilation fan has blades 0.25 m in radius rotating at 30 rpm.What is the tangential speed of each blade tip?

(Multiple Choice)

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Question 32

A 100-N uniform ladder,8.0 m long,rests against a smooth vertical wall.The coefficient of static friction between ladder and floor is 0.30.What minimum angle can the ladder make with the floor before it slips?

(Multiple Choice)

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Question 33

If a nonzero torque is applied to an object,that object will experience:

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Question 34

A baseball pitcher loosens up his pitching arm.He tosses a 0.15-kg ball using only the rotation of his forearm,0.32 m in length,to accelerate the ball.If the ball starts at rest and is released with a speed of 24 m/s in a time of 0.40 s,what torque is applied to the ball while being held by the pitcher's hand to produce the angular acceleration?

(Multiple Choice)

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Question 35

Suppose a car has a 100,000 mile 10 year warranty on the wheels and axles of a car.How may turns will the wheels of 0.80-m diameter make if both the mileage and time warranties run out simultaneously and what will be the average angular velocities of the wheel? (Assume that a mile = 1.6 x 10³ M and that a year is 3.16 x 10⁷ S)

(Multiple Choice)

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Question 36

A solid sphere of radius R is placed on an incline that makes an angle With the horizontal.The sphere rolls down the incline without slipping.What is its acceleration?

(Multiple Choice)

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Question 37

A 0.60-kg rock is swung in a circular path and in a vertical plane on a 0.25-m length string.At the top of the path,the angular speed is 12.0 rad/s.What is the tension in the string at that point?

(Multiple Choice)

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Question 38

A grindstone spinning at the rate of 12 rev/s has what approximate angular speed?

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Question 39

A uniform bridge span weighs 70.0 × 10³ N and is 40.0 m long.An automobile weighing 15.0 × 10³ N is parked with its center of gravity located 12.0 m from the right pier.What upward support force does the right pier provide?

(Multiple Choice)

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Question 40

Showing 21 - 40 of 61

Exam 8: Rotational Equilibrium and Rotational Dynamics: Part A

A bowling ball has a mass of 7.0 kg,a moment of inertia of 2.8 × 10−2 kg·m2,and a radius of 0.10 m.If it rolls down the lane without slipping at a linear speed of 5.0 m/s,what is its angular speed?

A fan blade,initially at rest,rotates with a constant acceleration of 0.025 rad/s2.What is the time interval required for it to reach a 10-rad displacement after starting from rest?

A 0.40-m radius automobile tire accelerates from rest at a constant 2.0 rad/s2 over a 5.0 s interval.What is the tangential component of acceleration for a point on the outer edge of the tire during the 5.0-s interval?

An automobile accelerates from zero to 30 m/s in 6.0 s.The wheels have a diameter of 1.0 m.What is the average angular acceleration of each wheel?

A disk has a moment of inertia of 3.0 × 10−4 kg·m2 and rotates with an angular speed of 3.5 rad/sec.What net torque must be applied to bring it to rest within 3.7 s?

A Ferris wheel,rotating initially at an angular speed of 0.500 rad/s,accelerates over a 7.00-s interval at a rate of 0.0500 rad/s2.What angular displacement does the Ferris wheel undergo in this 7.00-s interval?

A Ferris wheel,rotating initially at an angular speed of 0.16 rad/s,accelerates over a 7.0-s interval at a rate of 0.050 rad/s2.What is its angular speed after this 7.0-s interval?

The torque caused by a force F applied at a distance r from the axis of rotation,is given by τ = rF​sinθ,where θ is the angle between And )If the magnitudes r and F remain the same,what other angle θ' will produce the same torque as was produced at angle θ if θ was less than 90°?

A ventilation fan has blades 0.25 m in radius rotating at 30 rpm.What is the tangential speed of each blade tip?

A 100-N uniform ladder,8.0 m long,rests against a smooth vertical wall.The coefficient of static friction between ladder and floor is 0.30.What minimum angle can the ladder make with the floor before it slips?

If a nonzero torque is applied to an object,that object will experience:

A solid sphere of radius R is placed on an incline that makes an angle With the horizontal.The sphere rolls down the incline without slipping.What is its acceleration?

A 0.60-kg rock is swung in a circular path and in a vertical plane on a 0.25-m length string.At the top of the path,the angular speed is 12.0 rad/s.What is the tension in the string at that point?

A grindstone spinning at the rate of 12 rev/s has what approximate angular speed?

A uniform bridge span weighs 70.0 × 103 N and is 40.0 m long.An automobile weighing 15.0 × 103 N is parked with its center of gravity located 12.0 m from the right pier.What upward support force does the right pier provide?

Introduction

Introduction: Part A

Motion in One Dimension

Motion in One Dimension: Part A

Vectors and Two-Dimensional Motion

Vectors and Two-Dimensional Motion: Part A

The Laws of Motion

The Laws of Motion: Part A

Energy

Energy: Part A

Momentum and Collisions

Momentum and Collisions: Part A

Rotational Motion and the Law of Gravity

Rotational Motion and the Law of Gravity: Part A

Rotational Equilibrium and Rotational Dynamics

Solids and Fluids

Solids and Fluids: Part A

Thermal Physics

Thermal Physics: Part A

Energy in Thermal Processes Heat and Internal Energy

Energy in Thermal Processes Heat and Internal Energy: Part A

The Laws of Thermodynamics Work in Thermodynamic Processes

The Laws of Thermodynamics Work in Thermodynamic Processes: Part A

Vibrations and Waves

Vibrations and Waves: Part A

Sound

Sound: Part A

Electric Forces and Electric Fields

Electric Forces and Electric Fields: Part A

Electrical Energy and Capacitance

Electrical Energy and Capacitance: Part A

Current and Resistance Electric Current

Current and Resistance Electric Current: Part A

Direct-Current Circuits Sources of EMF

Direct-Current Circuits Sources of EMF: Part A

Magnetism Magnets

Magnetism Magnets: Part A

Induced Voltages and Inductance

Induced Voltages and Inductance: Part A

Alternating-Current Circuits and Electromagnetic Waves

Alternating-Current Circuits and Electromagnetic Waves: Part A

Reflection and Refraction of Light

Reflection and Refraction of Light: Part A

Mirrors and Lenses

Mirrors and Lenses: Part A

Wave Optics

Wave Optics: Part A

Optical Instruments

Optical Instruments: Part A

Relativity

Relativity: Part A

Quantum Physics Blackbody Radiation and Plancks Hypothesis

Quantum Physics Blackbody Radiation and Plancks Hypothesis: Part A

Atomic Physics

Atomic Physics: Part A

Nuclear Physics

Nuclear Physics: Part A

Nuclear Energy and Elementary Particles

Nuclear Energy and Elementary Particles: Part A

Particle Collisions, Mediating Photons, and Quark Structures: Exploring the Fundamentals of Physics

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A bowling ball has a mass of 7.0 kg,a moment of inertia of 2.8 × 10−² kg·m²,and a radius of 0.10 m.If it rolls down the lane without slipping at a linear speed of 5.0 m/s,what is its angular speed?

A fan blade,initially at rest,rotates with a constant acceleration of 0.025 rad/s².What is the time interval required for it to reach a 10-rad displacement after starting from rest?

A 0.40-m radius automobile tire accelerates from rest at a constant 2.0 rad/s² over a 5.0 s interval.What is the tangential component of acceleration for a point on the outer edge of the tire during the 5.0-s interval?

A disk has a moment of inertia of 3.0 × 10−⁴ kg·m² and rotates with an angular speed of 3.5 rad/sec.What net torque must be applied to bring it to rest within 3.7 s?

A Ferris wheel,rotating initially at an angular speed of 0.500 rad/s,accelerates over a 7.00-s interval at a rate of 0.0500 rad/s².What angular displacement does the Ferris wheel undergo in this 7.00-s interval?

A Ferris wheel,rotating initially at an angular speed of 0.16 rad/s,accelerates over a 7.0-s interval at a rate of 0.050 rad/s².What is its angular speed after this 7.0-s interval?

The torque caused by a force F applied at a distance r from the axis of rotation,is given by τ = rFsinθ,where θ is the angle between And )If the magnitudes r and F remain the same,what other angle θ' will produce the same torque as was produced at angle θ if θ was less than 90°?

A uniform bridge span weighs 70.0 × 10³ N and is 40.0 m long.An automobile weighing 15.0 × 10³ N is parked with its center of gravity located 12.0 m from the right pier.What upward support force does the right pier provide?