The second hand of the clock makes one revolution in 60.0 sec. What is the angular speed of the second hand in rad/sec? What is the linear speed of a ladybug riding on the edge of the second hand that is 25 cm long? A tire with radius of 0.356 m is on a car traveling at 60 mph. a. Calculate the angular speed of the tire. b. If the car slows uniformly to 15 mph in 10.0 s. What is the angular acceleration of this tire in rad/s²? c. What is the linear displacement of the automobile during the 10.0 sec of acceleration? A 3.0kg mass is placed 2.00m to the right of the pivot point of a see-saw. a. What is the magnitude and the direction of the torque applied? b. If you want to balance the see-saw, where could you place a 5.0 kg mass? = 3.0kg r = 2.00m 2.00m mg You are rushing through a frictionless swinging door and onto the sidewalk. The force you exert on the door is 50N, applied perpendicular to the plane of the door. The door is 1.0m wide. a. If you pushed the door exactly in the middle of the door, what was the torque on the swinging door (taking the hinge as the axis of rotation)? b. A devious child decides to try to stop you from opening the door by standing on the other side and pushing against you. If the child pushes at the edge of the door, how much torque must the child apply? How much force must the child exert?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter10: Rotational Motion
Section: Chapter Questions
Problem 1CQ: (a) What is the angular speed of the second hand of a clock? (b) What is the direction of as you...
Question

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The second hand of the clock makes one revolution in 60.0 sec. What is the angular
speed of the second hand in rad/sec? What is the linear speed of a ladybug riding on
the edge of the second hand that is 25 cm long?
A tire with radius of 0.356 m is on a car traveling at 60 mph.
a. Calculate the angular speed of the tire.
b. If the car slows uniformly to 15 mph in 10.0 s. What is the angular
acceleration of this tire in rad/s²?
c. What is the linear displacement of the automobile during the 10.0 sec of
acceleration?
A 3.0kg mass is placed 2.00m to the right of the pivot
point of a see-saw.
a. What is the magnitude and the direction of the
torque applied?
b. If you want to balance the see-saw, where could
you place a 5.0 kg mass?
= 3.0kg
r = 2.00m
2.00m
mg
You are rushing through a frictionless swinging door and onto the sidewalk. The
force you exert on the door is 50N, applied perpendicular to the plane of the door.
The door is 1.0m wide.
a. If you pushed the door exactly in the middle of the door, what was the torque
on the swinging door (taking the hinge as the axis of rotation)?
b. A devious child decides to try to stop you from opening the door by standing
on the other side and pushing against you. If the child pushes at the edge of
the door, how much torque must the child apply? How much force must the
child exert?
Transcribed Image Text:The second hand of the clock makes one revolution in 60.0 sec. What is the angular speed of the second hand in rad/sec? What is the linear speed of a ladybug riding on the edge of the second hand that is 25 cm long? A tire with radius of 0.356 m is on a car traveling at 60 mph. a. Calculate the angular speed of the tire. b. If the car slows uniformly to 15 mph in 10.0 s. What is the angular acceleration of this tire in rad/s²? c. What is the linear displacement of the automobile during the 10.0 sec of acceleration? A 3.0kg mass is placed 2.00m to the right of the pivot point of a see-saw. a. What is the magnitude and the direction of the torque applied? b. If you want to balance the see-saw, where could you place a 5.0 kg mass? = 3.0kg r = 2.00m 2.00m mg You are rushing through a frictionless swinging door and onto the sidewalk. The force you exert on the door is 50N, applied perpendicular to the plane of the door. The door is 1.0m wide. a. If you pushed the door exactly in the middle of the door, what was the torque on the swinging door (taking the hinge as the axis of rotation)? b. A devious child decides to try to stop you from opening the door by standing on the other side and pushing against you. If the child pushes at the edge of the door, how much torque must the child apply? How much force must the child exert?
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