137
138
3. Calculate the radian measure of a central angle that subtends (opens) an arc-length of 9 m in a circle of radius 1.5 m.
A. 5.4 rad B. 7.8 rad C. 4.8 rad D. 6 rad E. 8.4 rad
4. An object is revolving in a circular path of radius 18 m with a uniform speed of 13 m ⁄ s. How long does it take to make one complete revolution?
A. 7.83 s B. 5.22 s C. 8.7 s D. 6.96 s E. 6.09 s
5. An object is revolving in a circular path of radius 6 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. 18.096 m ⁄ s B. 27.143 m ⁄ s C. 24.127 m ⁄ s D. 30.159 m ⁄ s E. 21.112 m ⁄ s
6. An object is revolving in a circular path of radius 4 m with a uniform speed. If it makes 50 revolutions in 6 seconds, calculate its period.
A. 0.144 s B. 0.132 s C. 0.168 s D. 0.12 s E. 0.084 s
7. An object is revolving in a circular path of radius 14 m with a uniform speed. If it makes 17 cycles per second, calculate its centripetal acceleration.
A. 143756.71 m ⁄ s 2 B. 223621.549 m ⁄ s 2 C. 191675.613 m ⁄ s 2 D. 159729.678 m ⁄ s 2 E. 111810.774 m ⁄ s 2
139
8. An object of mass 0.6 kg is revolving in a circular path of radius 16 m with a uniform speed of 13 m ⁄ s. Calculate the force responsible for this motion.
A. 8.239 N B. 6.337 N C. 3.802 N D. 6.971 N E. 5.07 N
9. A uniformly accelerated circular motion
A. is motion in a circular path where the angular speed is changing.
B. is motion in a circular path where the angular speed changes at constant rate with time.
C. is motion in a circular path where the speed is changing.
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 with constant centripetal acceleration.
10. Which of the following statements is not a correct statement.
A. Uniformly accelerated circular motion is motion with constant angular acceleration.
B. Tangential and centripetal acceleration of a circular motion are always perpendicular to each other.
C. Uniform circular motion is not an accelerated motion.
D. The direction of tangential acceleration of a circular motion is always tangent to the circular path.
E. Uniform circular motion is motion with a constant speed.
11. A wheel of radius 18 m was rolled for a distance of 8 m. Calculate the angular displacement of a point on the rim of the wheel.
A. 0.4 rad B. 0.622 rad C. 0.311 rad D. 0.533 rad E. 0.444 rad
140
12. The angular speed of an object revolving in a circular path of radius 2.7 m changed from 6 rad
⁄ s to 3 rad ⁄ s uniformly in 0.5 seconds. Calculate the distance travelled.
A. 6.075 m B. 5.468 m C. 3.645 m D. 7.898 m E. 7.29 m
13. Starting with an angular speed of 18 rad ⁄ s, an object was accelerated uniformly on a circular path of radius 0.4 m with an acceleration of 8 rad ⁄ s 2 for 21 s. Calculate its final angular speed.
A. 111.6 rad ⁄ s B. 204.6 rad ⁄ s C. 241.8 rad ⁄ s D. 186 rad ⁄ s E. 223.2 rad ⁄ s
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141
14. An object is revolving in a circular path of radius 3.6 m with an angular acceleration of 24 rad
⁄ s 2. At a time when its angular speed is 30 rad ⁄ s, calculate the net acceleration of the object.
A. 4213.497 m ⁄ s 2 B. 3565.267 m ⁄ s 2 C. 3889.382 m ⁄ s 2 D. 4537.613 m ⁄ s 2 E. 3241.152 m ⁄ s 2