A student holds a bike wheel and starts it spinning with an initial angular speed of 9.0 rotations per second. The wheel is subject to some friction, so it gradually slows down. In the 10.0 s period following the inital spin, the bike wheel undergoes 80.0 complete rotations. Assuming the frictional torque remains constant, how much more time At, will it take the bike wheel to come to a complete stop? Atz = The bike wheel has a mass of 0.625 kg and a radius of 0.315 m. If all the mass of the wheel is assumed to be located on the rim, find the magnitude of the frictional torque îf that was acting on the spinning wheel. N - m
A student holds a bike wheel and starts it spinning with an initial angular speed of 9.0 rotations per second. The wheel is subject to some friction, so it gradually slows down. In the 10.0 s period following the inital spin, the bike wheel undergoes 80.0 complete rotations. Assuming the frictional torque remains constant, how much more time At, will it take the bike wheel to come to a complete stop? Atz = The bike wheel has a mass of 0.625 kg and a radius of 0.315 m. If all the mass of the wheel is assumed to be located on the rim, find the magnitude of the frictional torque îf that was acting on the spinning wheel. N - m
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A student holds a bike wheel and starts it spinning with an initial angular speed of 9.0 rotations per second. The wheel is subject to some friction, so it gradually slows down. In the 10.0 s period following the inital spin, the bike wheel undergoes 80.0 complete rotations.
Assuming the frictional torque remains constant, how much more time Δ?s will it take the bike wheel to come to a complete stop?
![### Problem Statement
**Scenario:** A student holds a bike wheel and starts it spinning with an initial angular speed of 9.0 rotations per second. The wheel is subject to some friction, so it gradually slows down. In the 10.0 s period following the initial spin, the bike wheel undergoes 80.0 complete rotations.
**Question 1:** Assuming the frictional torque remains constant, how much more time (Δtₛ) will it take the bike wheel to come to a complete stop?
\[ \Delta t_s = \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \boxed{\phantom{0}} \, \text{s} \]
**Additional Information:**
- The bike wheel has a mass of 0.625 kg and a radius of 0.315 m.
- If all the mass of the wheel is assumed to be located on the rim, find the magnitude of the frictional torque (τₓ) that was acting on the spinning wheel.
\[ \tau_f = \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \boxed{\phantom{0}} \, \text{N} \cdot \text{m} \]
### Explanation of Diagram
The diagram depicts a person holding a bike wheel by its hub, with the wheel oriented horizontally. The wheel is being spun and is subject to frictional forces, illustrated in the context of the given problem scenario.
### Summary
You will need to calculate both the additional time the wheel will take to stop and the frictional torque using the given mass, radius, and initial conditions of the wheel's motion.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff90e9f76-a8ee-4e86-857e-4cb9f0bb2381%2Fd2bb3f3c-7a95-4fab-a296-90b249f93275%2F1ljzzwf_processed.png&w=3840&q=75)
Transcribed Image Text:### Problem Statement
**Scenario:** A student holds a bike wheel and starts it spinning with an initial angular speed of 9.0 rotations per second. The wheel is subject to some friction, so it gradually slows down. In the 10.0 s period following the initial spin, the bike wheel undergoes 80.0 complete rotations.
**Question 1:** Assuming the frictional torque remains constant, how much more time (Δtₛ) will it take the bike wheel to come to a complete stop?
\[ \Delta t_s = \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \boxed{\phantom{0}} \, \text{s} \]
**Additional Information:**
- The bike wheel has a mass of 0.625 kg and a radius of 0.315 m.
- If all the mass of the wheel is assumed to be located on the rim, find the magnitude of the frictional torque (τₓ) that was acting on the spinning wheel.
\[ \tau_f = \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \boxed{\phantom{0}} \, \text{N} \cdot \text{m} \]
### Explanation of Diagram
The diagram depicts a person holding a bike wheel by its hub, with the wheel oriented horizontally. The wheel is being spun and is subject to frictional forces, illustrated in the context of the given problem scenario.
### Summary
You will need to calculate both the additional time the wheel will take to stop and the frictional torque using the given mass, radius, and initial conditions of the wheel's motion.
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