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Worksheets

Circular Motion

Total questions: 10

Worksheet time: 10mins

Name
Class
Date
1.

A particle of mass 0.01 kg moves in a horizontal circle of diameter 1 m with an angular velocity of 3π

rad s-1.

What is the magnitude of the force responsible for this motion?

a)

0.03 π

b)

0.09 π

c)

0.03 π2

d)

0.09 π2

2.

A particle of mass 0.01 kg moves in a horizontal circle of diameter 1 m with an angular velocity of 3π

rad s-1.

What is the direction of the force responsible for this motion?

a)

away from the centre of the circle

b)

towards the centre of the circle

c)

along a tangent to the edge of the circle

d)

in a circle

3.

The mass at the end of a pendulum is made to move in a horizontal circle of radius r at constant speed. The magnitude of the net force on the mass is F.

What is the direction of F during half a revolution?

a)

towards the centre of the circle

b)

away from the centre of the circle

c)

along a tangent to the circle

d)

in a circle

4.

The mass at the end of a pendulum is made to move in a horizontal circle of radius r at constant speed. The magnitude of the net force on the mass is F.

What is the work done by F during half a revolution?

a)

0

b)

πrF

c)

(πrF)2

d)

2πrF

5.

An object of mass m at the end of a string of length r moves in a vertical circle at a constant angular speed ω.

What is the tension in the string when the object is at the bottom of the circle?

a)

m(ω2r + g)

b)

m(ω2r –g)

c)

mg(ω2r + 1)

d)

mg(ω2r +-1)

6.

An object of mass m moves in a horizontal circle of radius r with a constant speed v. What is the rate at which work is done by the centripetal force?

a)

mv3r\frac{mv^3}{r}

b)

mv32πr\frac{mv^3}{2\pi r}

c)

mv34πr\frac{mv^3}{4\pi r}

d)

zero

7.

An object rotates in a horizontal circle when acted on by a centripetal force F. What is the centripetal force acting on the object when the radius of the circle doubles and the kinetic energy of the object halves?

a)

F4\frac{F}{4}

b)

F2\frac{F}{2}

c)

FF

d)

2F2F

8.

The maximum speed with which a car can take a circular turn of radius R is v. The maximum speed with which the same car, under the same conditions, can take a circular turn of radius 2R is

a)

2v

b)

v√2

c)

4v

d)

2v√2

9.

A satellite X of mass m orbits the Earth with a period T. What will be the orbital period of satellite Y of mass 2m occupying the same orbit as X?

a)

T2\frac{T}{2}

b)

TT

c)

T2 T\sqrt{2\ }

d)

2T2T

10.

Two particles, X and Y, are attached to the surface of a horizontally mounted turntable.

The turntable rotates uniformly about a vertical axis. The magnitude of the linear velocity of X is v and the magnitude of its acceleration is a. Which of the following correctly compares the magnitude of the velocity of Y and the magnitude of the acceleration of Y with v and a respectively?

a)

Y velocity = v

Y acceleration < a

b)

Y velocity > v

Y acceleration < a

c)

Y velocity = v

Y acceleration > a

d)

Y velocity > v

Y acceleration > a