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Solved: Consider the 12.0 kg motorcycle wheel shown in
Chapter 10, Problem 15(choose chapter or problem)
Consider the \(12.0 kg\) motorcycle wheel shown in Figure \(10.38\). Assume it to be approximately an annular ring with an inner radius of \(0.280 m\) and an outer radius of \(0.330 m\). The motorcycle is on its center stand, so that the wheel can spin freely.
(a) If the drive chain exerts a force of \(2200 N\) at a radius of \(5.00 cm\), what is the angular acceleration of the wheel?
(b) What is the tangential acceleration of a point on the outer edge of the tire?
(c) How long, starting from rest, does it take to reach an angular velocity of \(80.0 rad/s\)?
Figure \(10.38\) A motorcycle wheel has a moment of inertia approximately that of an annular ring.
Equation Transcription:
0.280 m
0.330 m
5.00 cm
80.0 rad/s
Text Transcription:
12.0 kg
10.38
0.280 m
0.330 m
2200 N
5.00 cm
80.0 rad/s
Questions & Answers
QUESTION:
Consider the \(12.0 kg\) motorcycle wheel shown in Figure \(10.38\). Assume it to be approximately an annular ring with an inner radius of \(0.280 m\) and an outer radius of \(0.330 m\). The motorcycle is on its center stand, so that the wheel can spin freely.
(a) If the drive chain exerts a force of \(2200 N\) at a radius of \(5.00 cm\), what is the angular acceleration of the wheel?
(b) What is the tangential acceleration of a point on the outer edge of the tire?
(c) How long, starting from rest, does it take to reach an angular velocity of \(80.0 rad/s\)?
Figure \(10.38\) A motorcycle wheel has a moment of inertia approximately that of an annular ring.
Equation Transcription:
0.280 m
0.330 m
5.00 cm
80.0 rad/s
Text Transcription:
12.0 kg
10.38
0.280 m
0.330 m
2200 N
5.00 cm
80.0 rad/s
ANSWER:
Solution
Step 1 of 5
Consider a motorcycle is in center stand and the wheel can spin freely whose inner radius is and outer radius .
a) We need to find out the angular acceleration of the wheel if the chain exert a force and at radius .
The angular acceleration is nothing but the ratio of the torque generated when the chain exert a force and the moment of inertia of the wheel.
.................(1)
