A boy ties a stone to the end of a string which he then whirles above his head round a circular path of radius 15cm. if the stone makes 20 oscillations in 10 seconds calculate the angular and linear speeds of the stone.

Question

Physics

Clarissa Roach

22 September, 12:50

A boy ties a stone to the end of a string which he then whirles above his head round a circular path of radius 15cm. if the stone makes 20 oscillations in 10 seconds calculate the angular and linear speeds of the stone.

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Answers (1)

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Frye · Answer 1

W = 12.568rads

V = 1.8852m/s

Explanation:

dа ta:

r = 15cm = 0.15m

t = 10s

Revolutions = 20

Frequency (F) = number revolutions / time take complete it

F = 20 / 10 = 2Hz

Angular velocity (w) = 2 * 3.142 * F

Note: 3.142 = value of pi

W = 2*3.142*2 = 12.568 rads

Linear velocity (v) = w*r

V = 12.568*0.15 = 1.8852m/s