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Mechanics

New kid on the Block

 Joined: 13 Mar 2011 Post: 4
22 Oct 2011 18:52:36 IST
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A nut is screwed out on a bolt with 12turns per/cm and diameter 1.18cm . The bolt is lying horizontal direction .The nut spins 216 rpm.Time taken by the nut to cover 1.8 cm along the bolt is

Scorching goIITian

Joined: 24 Aug 2007
Posts: 202
24 Oct 2011 01:31:58 IST
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Simple problem

1 cm requires 12 turns

Therefore, 1.8 cms require = 12 *1.8 turns = 21.6

Now omega (angular frequency) = 216 rpm = 216 rotations / min = 216 turns in a minute

Thus, It takes a minute for 216 turns then 21.6 turns require 1/10th of minute

Hence, answer is 6 seconds :)

New kid on the Block

Joined: 14 Oct 2011
Posts: 13
24 Oct 2011 15:59:35 IST
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12turns=1cm

1.8cm=12*1.8 turns

=21.6 turns

speed=216rpm=216/60 rps

=3.6 turns per sec

therefore,

time taken to make 21.6turns= 21.6/3.6 sec

=6 seconds...............

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