LINEAR AND ANGULAR MOTION 135
- A point on a wheel has a constant angu-
lar velocity of 3 rad/s. The angle turned
through in 15 seconds is:
(a) 45 rad (b) 10πrad
(c) 5 rad (d) 90πrad
- An angular velocity of 60 revolutions
per minute is the same as:
(a) (1/2π) rad/s (b) 120πrad/s
(c) (30/π)rad/s (d)2πrad/s
- A wheel of radius 15 mm has an angular
velocity of 10 rad/s. A point on the rim
of the wheel has a linear velocity of:
(a) 300πmm/s (b) 2/3 mm/s
(c) 150 mm/s (d) 1.5 mm/s
- The shaft of an electric motor is rotating
at 20 rad/s and its speed is increased
uniformly to 40 rad/s in 5 s. The angular
acceleration of the shaft is:
(a) 4000 rad/s^2 (b) 4 rad/s^2
(c) 160 rad/s^2 (d) 12 rad/s^2
- A point on a flywheel of radius 0.5 m
has a uniform linear acceleration of
2m/s^2. Its angular acceleration is:
(a) 2.5 rad/s^2 (b) 0.25 rad/s^2
(c) 1 rad/s^2 (d) 4 rad/s^2
Questions 10 to 13 refer to the following data.
A car accelerates uniformly from 10 m/s
to 20 m/s over a distance of 150 m. The
wheels of the car each have a radius of
250 mm.
- The time the car is accelerating is:
(a) 0.2 s (b) 15 s (c) 10 s (d) 5 s
- The initial angular velocity of each of
the wheels is:
(a) 20 rad/s (b) 40 rad/s
(c) 2.5 rad/s (d) 0.04 rad/s
- The angular acceleration of each of the
wheels is:
(a) 1 rad/s^2 (b) 0.25 rad/s^2
(c) 400 rad/s^2 (d) 4 rad/s^2
- The linear acceleration of a point on each
of the wheels is:
(a) 1 m/s^2 (b) 4 m/s^2
(c) 3 m/s^2 (d) 100 m/s^2
