Physics · Circular Motion & Momentum
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The angular velocity will become equal to linear velocity when r becomes:
- A
Zero
- B
Negative
- C
Unity
- D
They can never be equal
When the radius (r) becomes equal to 1, the angular velocity (ω) and linear velocity (v) become equal. This is because the linear velocity is equal to the product of the radius and angular velocity, as given by the equation v = rω.
Therefore, when the radius is set to unity (r = 1), the linear velocity and angular velocity will have the same magnitude. This indicates that for a given rotational motion, the linear velocity of a point on the object will be equal to its angular velocity when the radius is equal to one unit.
This is not a correct option.
When the radius (r) becomes equal to 1, the angular velocity (ω) and linear velocity (v) become equal. This is because the linear velocity is equal to the product of the radius and angular velocity, as given by the equation v = rω.
Therefore, when the radius is set to unity (r = 1), the linear velocity and angular velocity will have the same magnitude. This indicates that for a given rotational motion, the linear velocity of a point on the object will be equal to its angular velocity when the radius is equal to one unit.
This is not a correct option.
When the radius (r) becomes equal to 1, the angular velocity (ω) and linear velocity (v) become equal. This is because the linear velocity is equal to the product of the radius and angular velocity, as given by the equation v = rω.
Therefore, when the radius is set to unity (r = 1), the linear velocity and angular velocity will have the same magnitude. This indicates that for a given rotational motion, the linear velocity of a point on the object will be equal to its angular velocity when the radius is equal to one unit.
When the radius (r) becomes equal to 1, the angular velocity (ω) and linear velocity (v) become equal. This is because the linear velocity is equal to the product of the radius and angular velocity, as given by the equation v = rω.
Therefore, when the radius is set to unity (r = 1), the linear velocity and angular velocity will have the same magnitude. This indicates that for a given rotational motion, the linear velocity of a point on the object will be equal to its angular velocity when the radius is equal to one unit.
This is not a correct option.
When the radius (r) becomes equal to 1, the angular velocity (ω) and linear velocity (v) become equal. This is because the linear velocity is equal to the product of the radius and angular velocity, as given by the equation v = rω.
Therefore, when the radius is set to unity (r = 1), the linear velocity and angular velocity will have the same magnitude. This indicates that for a given rotational motion, the linear velocity of a point on the object will be equal to its angular velocity when the radius is equal to one unit.
Tagged under Physics · Circular Motion & Momentum · 2021