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What are the signs of the angular velocity ω and angular acceleration α of the pulley in case (a)? by convention, clockwise rotations are negative and counterclockwise rotations are positive?

Respuesta :

Everything which rotates in the direction of clock is taken as negative and opposite to clock is taken as positive. It is a sign convention. 
onyebuchinnaji

The angular acceleration of the pulley is [tex](\alpha = \frac{rF}{I})[/tex] and the angular velocity is [tex]\omega = \alpha t[/tex].

Angular acceleration of the pulley

The angular acceleration of the pulley is determined by applying the principle of conservation of angular momentum as shown below;

[tex]rF= I \alpha\\\\\alpha = \frac{rF}{I}[/tex]

Where;

  • α is the angular acceleration of the pulley
  • F is the force applied to the pulley
  • r is the radius of the pulley
  • I is moment of inertia of the pulley

Angular velocity of the pulley

The angular velocity of the pulley is calculated as follows;

[tex]\omega = \alpha t[/tex]

Learn more about angular velocity here: https://brainly.com/question/6860269

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