Solution Found!
Unless otherwise stated, in the following
Chapter 3, Problem 15E(choose chapter or problem)
Unless otherwise stated, in the following problems we assume that the gravitational force is constant with \(g=9.81\ m/sec^{2}\) in the MKS system and \(g=32\ ft/sec^{2}\) in the U.S. Customary System.
A rotating flywheel is being turned by a motor that exerts a constant torque 𝑇 (see Figure 3.10 on page 116). A retarding torque due to friction is proportional to the angular velocity \(\omega\). If the moment of inertia of the flywheel is 𝘭 and its initial angular velocity is \(\omega_{0}\), find the equation for the angular velocity \(\omega\).
as a function of time. [Hint: Use Newton’s second law for rotational motion, that is, moment of inertia ⨯ angular acceleration = sum of the torques.]
Equation Transcription:
Text Transcription:
g=9.81 m/sec^{2}
g=32 ft/sec^{2}
omega
omega_{0}
omega
theta
omega=d theta/dt
Questions & Answers
QUESTION:
Unless otherwise stated, in the following problems we assume that the gravitational force is constant with \(g=9.81\ m/sec^{2}\) in the MKS system and \(g=32\ ft/sec^{2}\) in the U.S. Customary System.
A rotating flywheel is being turned by a motor that exerts a constant torque 𝑇 (see Figure 3.10 on page 116). A retarding torque due to friction is proportional to the angular velocity \(\omega\). If the moment of inertia of the flywheel is 𝘭 and its initial angular velocity is \(\omega_{0}\), find the equation for the angular velocity \(\omega\).
as a function of time. [Hint: Use Newton’s second law for rotational motion, that is, moment of inertia ⨯ angular acceleration = sum of the torques.]
Equation Transcription:
Text Transcription:
g=9.81 m/sec^{2}
g=32 ft/sec^{2}
omega
omega_{0}
omega
theta
omega=d theta/dt
ANSWER:Solution:
Step 1
In this problem we need to find the angular velocity of a rotating flywheel as a function of time.