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rock that is attached to a 2.6 m rope is whirled around and covers 3 Radians every 1.2seconds. What is the Tangential velocity of the rock when the rope is released?

User Edrabc
by
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1 Answer

28 votes
28 votes

Answer: Tangential velocity = 6.5 m/s

Step-by-step explanation:

The formula for calculating tangential velocity is expressed as

v = rw

where

v represents tangential velocity

r represents the radius of the circular path

w is the angular velocity

From the information given,

r = 2.6

If 3 radians is covered in 1.2 seconds, then

angular velocity, w = distance /time = 3/1.2

w = 2.5 rad/s

Thus,

v = 2.6 x 2.5

v = 6.5 m/s

Tangential velocity = 6.5 m/s

User Jeremy Visser
by
2.5k points