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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?

Respuesta :

ustsr

The true statement about the CD is:

b. No net torque acts on it at all.

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Further explanation

Centripetal Acceleration can be formulated as follows:

[tex]\large {\boxed {a = \frac{ v^2 } { R } }[/tex]

a = Centripetal Acceleration ( m/s² )

v = Tangential Speed of Particle ( m/s )

R = Radius of Circular Motion ( m )

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Centripetal Force can be formulated as follows:

[tex]\large {\boxed {F = m \frac{ v^2 } { R } }[/tex]

F = Centripetal Force ( m/s² )

m = mass of Particle ( kg )

v = Tangential Speed of Particle ( m/s )

R = Radius of Circular Motion ( m )

Let us now tackle the problem !

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Complete Question:

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?

a. A net torque acts on it clockwise to keep it moving

b. No net torque acts on it at all.

c. A net torque acts on it counterclockwise to keep it moving

Given:

angular velocity = ω = 5.0 revolutions per second

Asked:

net torque = Στ = ?

Solution:

Constant angular velocity → angular acceleration = α = 0 rad/s²

[tex]\Sigma \tau = I \alpha[/tex]

[tex]\Sigma \tau = I (0)[/tex]

[tex]\Sigma \tau = 0 \texttt{ Nm}[/tex]

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Conclusion:

The true statement about the CD is:

b. No net torque acts on it at all.

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Learn more

  • Impacts of Gravity : https://brainly.com/question/5330244
  • Effect of Earth’s Gravity on Objects : https://brainly.com/question/8844454
  • The Acceleration Due To Gravity : https://brainly.com/question/4189441

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Answer details

Grade: High School

Subject: Physics

Chapter: Circular Motion

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Keywords: Gravity , Unit , Magnitude , Attraction , Distance , Mass , Newton , Law , Gravitational , Constant

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