A string is wound tightly around a fixed pulley having a radius of 5.0 cm. as the string is pulled, the pulley rotates without a
ny slipping of the string. what is the angular speed of the pulley when the string is moving at 5.0 m/s?
2 answers:
The angular speed can be solve using the formula:
w = v / r
where w is the angular speed
v is the linear velocity
r is the radius of the object
w = ( 5 m / s ) / ( 5 cm ) ( 1 m / 100 cm )
w = 100 per second
Answer:
Angular speed of the pulley = 100 rad/s
Explanation:
Linear speed = Angular speed x Radius
v = ωr
Given that the string is moving at 5.0 m/s
That is v = 5 m/s
The string is wound tightly around a fixed pulley having a radius of 5.0 cm,
r = 5 cm = 0.05 m
Linear speed = Angular speed x Radius
5 = ω x 0.05
ω = 100 rad/s
Angular speed of the pulley = 100 rad/s
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