1. A radian is about:
A.25°
B.37°
C.45°
D.57°
E.90°


2. If a wheel turns with constant angular speed then:
A.each point on its rim moves with constant velocity
B.each point on its rim moves with constant acceleration
C.the wheel turns through equal angles in equal times
D.the angle through which the wheel turns in each second increases as time goes on
E.the angle through which the wheel turns in each second decreases as time goes on


3. The angular speed in rad/s of the second hand of a watch is:
A.p/1800
B.p/60
C.p/30
D.2p
E.60


4. A wheel rotates with a constant angular acceleration of p rad/s2. During the time interval from t1 to t2 its angular displacement is p rad. At time t2 its angular velocity is 2p rad/s. Its angular velocity in rad/s at time t1 is:
A.zero
B.1
C.p
D.
E.2p


5. The angular velocity of a rotating wheel increases 2 rev/s every minute. The angular acceleration, in rad/s2 of this wheel is:
A.4p2
B.2p
C.1/30
D.2p/30
E.4p


6. A wheel initially has an angular velocity of –36 rad/s but after 6.0 s its angular velocity is –24 rad/s. If its angular acceleration is constant the value is:
A.2.0 rad/s2
B.–2.0 rad/s2
C.3.0 rad/s2
D.–3.0 rad/s2
E.–6.0 rad/s2


7. A wheel starts from rest and has an angular acceleration of 4.0 rad/s2. The time it takes to make 10 revolutions is:
A.0.50 s
B.0.71 s
C.2.2 s
D.2.8 s
E.5.6 s


8. A wheel starts from rest and has an angular acceleration that is given by a (t) = 6t2, where t is in seconds and a is in radians per second-squared. After it has turned through 10 revolutions its angular velocity is:
A.63 rad/s
B.75 rad/s
C.89 rad/s
D.130 rad/s
E.210 rad/s


9. The angular velocity vector of a spinning body points out of the page. If the angular acceleration vector points into the page then:
A.the body is slowing down
B.the body is speeding up
C.the body is starting to turn in the opposite direction
D.the axis of rotation is changing orientation
E.none of the above


10.

The fan shown has been turned on and is speeding up as it rotates clockwise. The direction of the acceleration of the point X on the fan tip could be:




A.ª
B.©
C.¯
D.¬
E.®


11. A flywheel of diameter 1.2 m has a constant angular acceleration of 5.0 rad/s2. The tangential acceleration of a point on its rim is:
A.5.0 rad/s2
B.3.0 m/s2
C.5.0 m/s2
D.6.0 m/s2
E.12 m/s2


12. For a wheel spinning on an axis through its center, the ratio of the radial acceleration of a point on the rim to the radial acceleration of a point halfway between the center and the rim is:
A.1
B.2
C.1/2
D.4
E.1/4


13. The acceleration of a point on a spinning wheel is increased by a factor of 4 if:
A.the angular velocity and the angular acceleration are each increased by a factor of 4
B.the angular velocity is increased by a factor of 4 and the angular acceleration is not changed
C.the angular velocity and the angular acceleration are each increased by a factor of 2
D.the angular velocity is increased by a factor of 2 and the angular acceleration is not changed
E.the angular velocity is increased by a factor of 2 and the angular acceleration is increased by a factor of 4



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