Choose the best answer

1. Convert 5.2 radians to degrees.
   
   1. 297.938 deg
      
   2. 94.145 deg
      
   3. 455.702 deg
      
   4. 402.883 deg
      
   5. 345.961 deg
      
   Answer: A
   

2. Convert 2.4 revolution to radian.
   
   1. 7.884 rad
      
   2. 15.08 rad
      
   3. 13.471 rad
      
   4. 10.555 rad
      
   5. 27.016 rad
      
   Answer: B
   

3. Calculate the length of an arc subtended (opened) by a
   central angle whose radian measure is 1.5 rad
   in a circle of radius 6 m.
   
   1. 0.96 m
      
   2. 10.439 m
      
   3. 6.845 m
      
   4. 9 m
      
   5. 3.416 m
      
   Answer: D
   

4. An object is revolving in a circular path of radius 6 m
   with a uniform speed of 5 m ⁄ s. How many
   cycles does it execute per second.
   
   1. 0.082 Hz
      
   2. 0.105 Hz
      
   3. 0.202 Hz
      
   4. 0.133 Hz
      
   5. 0.231 Hz
      
   Answer: D
   

5. An object is revolving in a circular path of
   radius 12 m with a uniform speed. If it takes
   2.5 s to make one complete revolution, calculate
   the speed with which it is revolving.
   
   1. 30.159 m ⁄ s
      
   2. 16.691 m ⁄ s
      
   3. 22.784 m ⁄ s
      
   4. 56.258 m ⁄ s
      
   5. 33.557 m ⁄ s
      
   Answer: A
   

6. An object is revolving in a circular path of
   radius 14 m with a uniform speed. If it makes
   50 revolutions in 12 seconds, calculate
   its period.
   
   1. 0.293 s
      
   2. 0.153 s
      
   3. 0.24 s
      
   4. 0.097 s
      
   5. 0.426 s
      
   Answer: C
   

7. An object is revolving in a circular path of
   radius 8 m with a uniform speed. If it takes
   15 seconds to make one complete revolution,
   calculate its centripetal acceleration.
   
   1. 1.404 m ⁄ s ²
      
   2. 1.55 m ⁄ s ²
      
   3. 0.141 m ⁄ s ²
      
   4. 1.203 m ⁄ s ²
      
   5. 0.537 m ⁄ s ²
      
   Answer: A
   

8. An object of mass 21 kg is revolving in a circular path of
   radius 10 m with a uniform speed. If it takes
   9 seconds to make one complete revolution,
   calculate the force responsible for this motion.
   
   1. 135.704 N
      
   2. 120.031 N
      
   3. 89.894 N
      
   4. 164.353 N
      
   5. 102.351 N
      
   Answer: E
   

9. Tangential acceleration of a circular motion is
   acceleration
   
   1. due to change in angular acceleration.
      
   2. which is the same with angular acceleration.
      
   3. due to change of speed.
      
   4. due to change in the direction of the velocity.
      
   5. due to change in speed and change in the
      direction of the velocity.
      
   Answer: C
   

10. Which of the following statements is not a
    correct statement.
    
    1. Uniformly accelerated circular motion is motion
       with constant angular acceleration.
       
    2. Uniform circular motion is motion with a
       constant speed.
       
    3. The direction of tangential acceleration of a
       circular motion is always tangent to the
       circular path.
       
    4. Uniform circular motion is not an accelerated
       motion.
       
    5. Tangential and centripetal acceleration of a
       circular motion are always perpendicular to
       each other.
       
    Answer: D
    

11. An object is revolving in a circular path of radius
    8 m with an angular acceleration of 20 rad ⁄ s ².
    Calculate its tangential acceleration.
    
    1. 231.671 m ⁄ s ²
       
    2. 129.987 m ⁄ s ²
       
    3. 194.479 m ⁄ s ²
       
    4. 160 m ⁄ s ²
       
    5. 265.767 m ⁄ s ²
       
    Answer: D
    

12. The angular speed of an object revolving in a
    circular path of radius 0.9 m changed from 16 rad ⁄ s
    to 7 rad ⁄ s uniformly in 4.5 seconds. Calculate its
    tangential acceleration.
    
    1. -1.022 m ⁄ s ²
       
    2. -1.8 m ⁄ s ²
       
    3. -2.57 m ⁄ s ²
       
    4. -3.119 m ⁄ s ²
       
    5. -1.233 m ⁄ s ²
       
    Answer: B
    

13. Starting with an angular speed of 14 rad ⁄ s, an object
    was accelerated uniformly on a circular path of
    radius 1.2 m with an acceleration of 7 rad ⁄ s ² for 6 s.
    Calculate its final linear speed.
    
    1. 101.773 m ⁄ s
       
    2. 67.2 m ⁄ s
       
    3. 40.974 m ⁄ s
       
    4. 74.125 m ⁄ s
       
    5. 24.651 m ⁄ s
       
    Answer: B
    

14. An object is revolving in a circular path of
    radius 3.6 m with an angular acceleration of 18 rad ⁄ s ².
    At a time when its angular speed is 3 rad ⁄ s, calculate the net
    acceleration of the object.
    
    1. 72.449 m ⁄ s ²
       
    2. 31.259 m ⁄ s ²
       
    3. 98.164 m ⁄ s ²
       
    4. 117.532 m ⁄ s ²
       
    5. 83.295 m ⁄ s ²
       
    Answer: A