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Kinematics of uniform circular motion

Total questions: 10

Worksheet time: 6mins

Name
Class
Date
1.

Convert 30o into radians.

a)

0.52 rad

b)

3.7 rad

c)

94 rad

d)

1700 rad

2.

Convert 1.0 radians into degrees.

a)

30o

b)

57o

c)

167o

d)

230o

3.

When a body moves with a constant speed along a circle,

a)

no work is done on it.

b)

no force acts on the body.

c)

its velocity remains constant.

d)

no acceleration is produced in the body.

4.

If the body is moving in a circle of radius r with a constant speed v, its angular velocity is

a)

v2 / r

b)

vr

c)

v / r

d)

r / v

5.

The planet Mercury takes 88 days to orbit once round the Sun. Calculate its angular displacement in radians during a time interval of 1 day.

a)

0.012 rad

b)

0.036 rad

c)

0.071 rad

d)

3.14 rad

6.

An aeroplane is circling in the sky at a speed of 150 m s−1. The aeroplane describes a circle of radius 20 km. For a passenger of mass 80 kg inside this aeroplane, determine her angular velocity.

a)

7.5 rad s−1

b)

10.7 rad s−1

c)

3.0x103 rad s−1

d)

7.5x105 rad s−1

7.

An object completes 10 revolutions in a time of 8.2 s. Calculate the time taken for one revolution.

a)

0.82 s

b)

8.2 s

c)

82 s

d)

820 s

8.

An object completes 10 revolutions in a time of 8.2 s. Calculate the frequency.

a)

0.82 Hz

b)

1.22 Hz

c)

2.58 Hz

d)

8.20 Hz

9.

Define 1 radian.

a)

Angle swept out by a line passing through any point on the body and intersecting the axis of rotation perpendicularly.

b)

Net force required to keep an object moving on a circular path.

c)

angle swept out by the radius per unit time.

d)

Angle subtended at the centre of a circle by an arc of length equal to the radius of the circle.

10.

State the meaning of angular speed.

a)

Angle swept out by a line passing through any point on the body and intersecting the axis of rotation perpendicularly.

b)

Net force required to keep an object moving on a circular path.

c)

Angle swept out by the radius per unit time.

d)

Angle subtended at the centre of a circle by an arc of length equal to the radius of the circle.