A point on the rim of a 0.15-m-radius rotating disk has a centripetal acceleration of 5.0 m/s2 . What is the angular speed of a point 0.075 m from the center of the disk?
a. 0.89 rad/s
b. 1.6 rad/s
c. 3.2 rad/s
d. 5.8 rad/s
[Ques. 2] A point on the rim of a 0.25-m-radius rotating wheel has a centripetal acceleration of 4.0 m/s2 . What is the angular speed of the wheel?
a. 1.0 rad/s
b. 2.0 rad/s
c. 3.2 rad/s
d. 4.0 rad/s
[Ques. 3] A point on the rim of a 0.25-m-radius fan blade has centripetal acceleration of 0.20 m/s2 . Find the centripetal acceleration of a point 0.05 m from the center of the same wheel.
a. 0.01 m/s2
b. 0.02 m/s2
c. 0.04 m/s2
d. 0.08 m/s2
[Ques. 4] A 0.40-kg mass, attached to the end of a 0.75-m string, is whirled around in a circular horizontal path. If the maximum tension that the string can withstand is 450 N, then what maximum speed can the mass have if the string is not to break?
a. 370 m/s
b. 22 m/s
c. 19 m/s
d. 29 m/s
[Ques. 5] A 0.30-m-radius automobile tire accelerates from rest at a constant 2.0 rad/s2 . What is the centripetal acceleration of a point on the outer edge of the tire after 5.0 s?
a. 300 m/s2
b. 33 m/s2
c. 30 m/s2
d. 3.0 m/s2
[Ques. 6] A ventilation fan has blades 0.25 m long rotating at 20 rpm. What is the centripetal acceleration of a point on the outer tip of a blade?
a. 1.1 m/s2
b. 0.87 m/s2
c. 0.55 m/s2
d. 0.23 m/s2
[Ques. 7] Calculate the linear speed due to the Earth's rotation for a person at the equator of the Earth. The radius of the Earth is 6.40 106 m.
a. 74.0 m/s
b. 233 m/s
c. 465 m/s
d. 73.0 m/s
[Ques. 8] Consider a point on a bicycle wheel as the wheel turns about a fixed axis, neither speeding up nor slowing down. Compare the linear and angular accelerations of the point.
a. Both are zero.
b. Only the angular acceleration is zero.
c. Only the linear acceleration is zero.
d. Neither is zero.
[Ques. 9] Consider a point on a bicycle wheel as the wheel turns about a fixed axis, neither speeding up nor slowing down. Compare the linear and angular velocities of the point.
a. Both are constant.
b. Only the angular velocity is constant.
c. Only the linear velocity is constant.
d. Neither is constant.
[Ques. 10] Consider a point on a bicycle wheel as the wheel makes exactly four complete revolutions about a fixed axis. Compare the linear and angular displacement of the point.
a. Both are zero.
b. Only the angular displacement is zero.
c. Only the linear displacement is zero.
d. Neither is zero.
Quick Reply
