1. A circular saw blade 0.6 m in diameter starts from rest and accelerates with constant acceleration to an angular velocity of 100 rad.s-1 in 20 s. Find the a) angular acceleration, b) angle in degrees through which the blade has turned in the 20-s interval, c) the linear velocity of a point in the rim of the saw when the angular velocity is 10 rad.s-1. 2. The angle @ through which a bicycle wheel turns is given by e = a +bt2+ ct3 where a, b, and c are constants. Calculate the a) velocity and b) acceleration of the wheel as a function of time. 3. A grinding wheel 0.2 m in diameter, of mass 3 kg, is rotating at 3600 revolution per minute about an axis through its center. What is its kinetic energy? 4. What is the angular velocity of the hour hand of a clock if it has a length L and mass m? Hint: Always use standard units in your solutions.
1. A circular saw blade 0.6 m in diameter starts from rest and accelerates with constant acceleration to an angular velocity of 100 rad.s-1 in 20 s. Find the a) angular acceleration, b) angle in degrees through which the blade has turned in the 20-s interval, c) the linear velocity of a point in the rim of the saw when the angular velocity is 10 rad.s-1. 2. The angle @ through which a bicycle wheel turns is given by e = a +bt2+ ct3 where a, b, and c are constants. Calculate the a) velocity and b) acceleration of the wheel as a function of time. 3. A grinding wheel 0.2 m in diameter, of mass 3 kg, is rotating at 3600 revolution per minute about an axis through its center. What is its kinetic energy? 4. What is the angular velocity of the hour hand of a clock if it has a length L and mass m? Hint: Always use standard units in your solutions.
College Physics
1st Edition
ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:Paul Peter Urone, Roger Hinrichs
Chapter10: Rotational Motion And Angular Momentum
Section: Chapter Questions
Problem 15PE: Consider the 12.0 kg motorcycle wheel shown in Figure 10.38. Assume it to be approximately an...
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Question
1. A circular saw blade 0.6 m in diameter starts from rest and accelerates
with constant acceleration to an angular velocity of 100 rad.s-1 in 20 s.
Find the a) angular acceleration , b) angle in degrees through which the blade
has turned in the 20-s interval, c) the linear velocity of a point in the rim
of the saw when the angular velocity is 10 rad.s-1.
2. The angle @ through which a bicycle wheel turns is given by e = a +bt2+ ct3
where a, b, and c are constants. Calculate the a) velocity and b) acceleration of the
wheel as a function of time.
3. A grinding wheel 0.2 m in diameter, of mass 3 kg, is rotating at 3600 revolution per
minute about an axis through its center. What is its kinetic energy?
4. What is the angular velocity of the hour hand of a clock if it has a length L
and mass m?
Hint: Always use standard units in your solutions.
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