Quiz 13:

1. Convert 120 degrees to radians.

• A. 2.094 rad
• B. 3.075 rad
• C. 3.818 rad
• D. 1.702 rad
• E. 0.672 rad

2. Convert 2 radian to revolution.

• A. 0.318 rev
• B. 0.072 rev
• C. 0.395 rev
• D. 0.192 rev
• E. 0.564 rev

3. Calculate the radian measure of a central angle that subtends (opens) an arc-length of 8 m in a circle of radius 4 m.

• A. 3.485 rad
• B. 1.571 rad
• C. 2 rad
• D. 0.919 rad
• E. 2.465 rad

4. An object is revolving in a circular path of radius 2 m with a uniform speed of 7 m ⁄ s. How long does it take to make one complete revolution.

• A. 2.958 s
• B. 1.795 s
• C. 2.628 s
• D. 1.548 s
• E. 0.232 s

5. An object is revolving in a circular path of radius 2 m with a uniform speed. If it takes 1.25 s to make one complete revolution, calculate the speed with which it is revolving.

• A. 1.439 m ⁄ s
• B. 10.053 m ⁄ s
• C. 14.896 m ⁄ s
• D. 2.907 m ⁄ s
• E. 18.925 m ⁄ s

6. An object is revolving in a circular path of radius 16 m with a uniform speed. If it makes 35 revolutions in 24 seconds, calculate its speed.

• A. 83.399 m ⁄ s
• B. 33.199 m ⁄ s
• C. 146.608 m ⁄ s
• D. 174.406 m ⁄ s
• E. 225.772 m ⁄ s

7. An object is revolving in a circular path of radius 10 m with a uniform speed. If it makes 7 cycles per second, calculate its centripetal acceleration.

• A. 12150.76 m ⁄ s ²
• B. 9434.079 m ⁄ s ²
• C. 23588.451 m ⁄ s ²
• D. 28058.745 m ⁄ s ²
• E. 19344.425 m ⁄ s²

8. An object of mass 1.5 kg is revolving in a circular path of radius 8 m with a uniform speed of 3 m ⁄ s. Calculate the force responsible for this motion.

• A. 2.444 N
• B.1.688 N
• C. 1.082 N
• D. 1.937 N
• E. 0.538 N

9. A uniformly accelerated circular motion

• A. is motion in a circular path where the speed is changing.
• B. is motion in a circular path where the angular speed is changing.
• C. is motion in a circular path with constant centripetal acceleration.
• D. is motion in a circular motion where the angular acceleration changes at a constant rate with time.
• E. is motion in a circular path where the angelar speed changes at constant rate with time.

10. Which of the following is not a correct statement.

• A. Instantaneous angular velocity is angular velocity at a given instant of time.
• B. Instantaneous angular acceleration is angular acceleration at a given instant of time.
• C. Average angular acceleration s change in angular velocity per a unit time.
• D. Average angular velocity is change in angular velocity per a unit time.
• E. Displacement is change in angular position.

11. An object is revolving in a circular path of radius 6 m with a uniform speed of 16 m ⁄ s. Calculate its angular velocity.

• A. 2.188 rad ⁄ s
• B. 3.096 rad ⁄ s
• C. 4.006 rad ⁄ s
• D. 2.667 rad ⁄ s
• E. 3.708 rad ⁄ s

12. The angular speed of an object revolving in a circular path of radius 2.4 m changed from 16 rad ⁄ s to 15 rad ⁄ s uniformly in 2 seconds. Calculate the distance travelled.

• A. 63.866 m
• B. 30.644 m
• C. 74.4 m
• D. 138.028 m
• E. 51.908 m

13. Starting with an angular speed of 16 rad ⁄ s, an object was accelerated uniformly on a circular path of radius 3.2 m with an acceleration of 10 rad ⁄ s ² for 30 s. Calculate its angular displacement.

• A. 7077.799 rad
• B. 1887.382 rad
• C. 5516.395 rad
• D. 6310.794 rad
• E. 4980 rad

14. An object is revolving in a circular path of radius 5.4 m with an angular acceleration of 12 rad ⁄ s ². At a time when its angular speed is 21 rad ⁄ s, calculate the net acceleration of the object.

• A. 2382.281 m ⁄ s²
• B. 2005.196 m ⁄ s ²
• C. 3408.222 m ⁄ s²
• D. 1018.836 m ⁄ s ²
• E. 1446.868 m ⁄ s²