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In an engine the piston undergoes vertic...

In an engine the piston undergoes vertical simple motion with amplitude`7 cm`. A washer rests on top of the piston and moves with it. The motor speed is slowly increased. The frequency of the piston at which the washer no longer stays in contact with the piston, is close to :-

A

0.7 Hz

B

1.9 Hz

C

1.2 Hz

D

0.1 Hz

Text Solution

Verified by Experts

The correct Answer is:
B
Washer contact with piston `impliesN=0`
Given Amplitude A = 7 cm = 0.074 m.
`a_("max")=g=omega^(2)A`
The frequency of pistion
`f=(omega)/(2pi)=sqrt((g)/(A))(1)/(2pi)=sqrt((1000)/(7))(1)/(2pi)=1.9` Hz.
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