The true statement about the CD is:
<h3><em>b. No net torque acts on it at all.</em></h3>
![\texttt{ }](https://tex.z-dn.net/?f=%5Ctexttt%7B%20%7D)
<h3>Further explanation</h3>
Centripetal Acceleration can be formulated as follows:
![\large {\boxed {a = \frac{ v^2 } { R } }](https://tex.z-dn.net/?f=%5Clarge%20%7B%5Cboxed%20%7Ba%20%3D%20%5Cfrac%7B%20v%5E2%20%7D%20%7B%20R%20%7D%20%7D)
<em>a = Centripetal Acceleration ( m/s² )</em>
<em>v = Tangential Speed of Particle ( m/s )</em>
<em>R = Radius of Circular Motion ( m )</em>
![\texttt{ }](https://tex.z-dn.net/?f=%5Ctexttt%7B%20%7D)
Centripetal Force can be formulated as follows:
![\large {\boxed {F = m \frac{ v^2 } { R } }](https://tex.z-dn.net/?f=%5Clarge%20%7B%5Cboxed%20%7BF%20%3D%20m%20%5Cfrac%7B%20v%5E2%20%7D%20%7B%20R%20%7D%20%7D)
<em>F = Centripetal Force ( m/s² )</em>
<em>m = mass of Particle ( kg )</em>
<em>v = Tangential Speed of Particle ( m/s )</em>
<em>R = Radius of Circular Motion ( m )</em>
Let us now tackle the problem !
![\texttt{ }](https://tex.z-dn.net/?f=%5Ctexttt%7B%20%7D)
<em>Complete Question:</em>
<em>A CD spins at a constant angular velocity of 5.0 revolutions per second clockwise. Which of the following statements about the CD is true?</em>
<em>a. A net torque acts on it clockwise to keep it moving</em>
<em>b. No net torque acts on it at all.</em>
<em>c. A net torque acts on it counterclockwise to keep it moving</em>
<u>Given:</u>
angular velocity = ω = 5.0 revolutions per second
<u>Asked:</u>
net torque = Στ = ?
<u>Solution:</u>
Constant angular velocity → angular acceleration = α = 0 rad/s²
![\Sigma \tau = I \alpha](https://tex.z-dn.net/?f=%5CSigma%20%5Ctau%20%3D%20I%20%5Calpha)
![\Sigma \tau = I (0)](https://tex.z-dn.net/?f=%5CSigma%20%5Ctau%20%3D%20I%20%280%29)
![\Sigma \tau = 0 \texttt{ Nm}](https://tex.z-dn.net/?f=%5CSigma%20%5Ctau%20%3D%200%20%5Ctexttt%7B%20Nm%7D)
![\texttt{ }](https://tex.z-dn.net/?f=%5Ctexttt%7B%20%7D)
<h3>Conclusion:</h3>
The true statement about the CD is:
<em>b. No net torque acts on it at all.</em>
![\texttt{ }](https://tex.z-dn.net/?f=%5Ctexttt%7B%20%7D)
<h3>Learn more</h3>
![\texttt{ }](https://tex.z-dn.net/?f=%5Ctexttt%7B%20%7D)
<h3>Answer details</h3>
Grade: High School
Subject: Physics
Chapter: Circular Motion
![\texttt{ }](https://tex.z-dn.net/?f=%5Ctexttt%7B%20%7D)
Keywords: Gravity , Unit , Magnitude , Attraction , Distance , Mass , Newton , Law , Gravitational , Constant
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