Q. A stone is attached to a string 1m long and then whirled round in a horizontal cirle making 60 revolution per min find 1.Angular velocity 2.linear velocity 3.centripetal acceleration
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Q. A stone is attached to a string 1m long and then whirled round in a horizontal cirle making 60 revolution per min find 1.Angular velocity 2.linear velocity 3.centripetal acceleration
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Solution :-
(1) Angular velocity
⇛ ω = 2π n
First we need to convert rpm into rps in order to do that simply divide by 60
⇛ n = 60 / 60 = 1 rps
Now let's substitute the value of n in above equation ,
⇛ ω = 2 x 3.14 x 1
⇛ ω = 6.28 rad / s
(2) Linear velocity
As per the formula ,
⇛ v = rω
⇛ v = lω
( since the length of the string is the radius of the horizontal circle )
⇛ v = 1 x 6.28
⇛ v = 6.28 m / s
(3) Centripetal Acceleration
Centripetal acceleration is given by the formula,
⇛ a = v ² / r
( since the length of the string is the radius of the horizontal circle )
⇛ a = 39.4 / 1
⇛ a = 39.4 m / s²
Answer :-
Explanation:
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