Question

an objective of mass 2 kg attached to wire of length 5m is revolved in horizontal circle if it makes 60rpm. find its angular speed,linear speed, centripetal acceleration and centripetal force ​

Answer 1

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Answer 2

The angular speed,linear speed, centripetal acceleration and centripetal force ​are 6.28 rad/s, 31.4 m/s, 197m/s^2 and 394 N respectively.

Explanation:

Given the mass of the object, m = 2 kg.

The radius of the wire, r = 2 m.

The angular velocity,

$\omega=60rpm=\frac{60(2\pi)}{60s} =2\times3.14=6.28rad/s$

The linear velocity is given as

$v=\omega r$

substitute the given values, we get

$v=6.28rad/s\times5m$

v = 31.4 m/s

The cenripetal acceleartion is given as,

$a_c=\omega^2r$

substitute the values, we get

$a_c=(6.28rad/s)^2\times5m$

$a_c=197m/s^2$

The centripetal force is given as,

$F_c=m\omega^2r$

substitute the values, we get

$F_c=2kg\times(6.28rad/s)^2\times5m$

    = 394 N.

Thus, the angular speed,linear speed, centripetal acceleration and centripetal force ​are 6.28 rad/s, 31.4 m/s, 197m/s^2 and 394 N respectively.

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