A spinning fan has a moment of inertia I = 0.16 kgm2. It is spinning with a constant rate of 59.7 rad/s. If it comes to a stop in 6.0 s, what is the magnitude of the torque that caused it to come to a stop? O 1.6 mN 57 mN 10 mN 9.6 mN

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Chapter1: Units, Trigonometry. And Vectors
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### Problem Statement:
A spinning fan has a moment of inertia \( I = 0.16 \, \text{kgm}^2 \). It is spinning with a constant rate of \( 59.7 \, \text{rad/s} \). If it comes to a stop in \( 6.0 \, \text{s} \), what is the magnitude of the torque that caused it to come to a stop?

#### Options:
- \( \quad \) \( 1.6 \, \text{mN} \)
- \( \quad \) \( 57 \, \text{mN} \)
- \( \quad \) \( 10 \, \text{mN} \)
- \( \quad \) \( 9.6 \, \text{mN} \)

#### Explanation:
This problem involves calculating the torque needed to bring a spinning fan to a stop over a specified period of time, given its moment of inertia and initial angular velocity. The calculation involves concepts from rotational dynamics, specifically relating to the relationship between torque, moment of inertia, and angular deceleration.
Transcribed Image Text:### Problem Statement: A spinning fan has a moment of inertia \( I = 0.16 \, \text{kgm}^2 \). It is spinning with a constant rate of \( 59.7 \, \text{rad/s} \). If it comes to a stop in \( 6.0 \, \text{s} \), what is the magnitude of the torque that caused it to come to a stop? #### Options: - \( \quad \) \( 1.6 \, \text{mN} \) - \( \quad \) \( 57 \, \text{mN} \) - \( \quad \) \( 10 \, \text{mN} \) - \( \quad \) \( 9.6 \, \text{mN} \) #### Explanation: This problem involves calculating the torque needed to bring a spinning fan to a stop over a specified period of time, given its moment of inertia and initial angular velocity. The calculation involves concepts from rotational dynamics, specifically relating to the relationship between torque, moment of inertia, and angular deceleration.
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