An object of mass 4kg moves round a circle of radius 6m with constant speed 12ms calculate,the angular speed and the force toward the center
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Explanation:
what is centripatal force
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The angular speed is 2 rad/s and the centripetal force is 96 N.
Given,
Mass of the object = 4 kg.
The radius of the circle = 6 m.
To Find,
The angular speed and the force towards the center.
Solution,
The formula for calculating the angular speed of an object is
ω = V/R
where V is the velocity and R is the radius
ω = 12/6 = 2 rad/sec
Now, the formula for calculating the centripetal force is
Force = mv²/R
Force = 4(12)²/6
Force = 96 N.
Hence, the angular speed is 2 rad/s and the centripetal force is 96 N.
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