How many complete cycles does the piston make in 30 minutes?

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Question from San, a student:

A piston in a large factory engine moves up and down in a cylinder.
The height, h centimetres, of the piston at t seconds is given by formula
h=120sin(pi)t+200
How many complete cycles does the piston make in 30minutes?

Hi San,

The period of the sin function is 2π and hence the piston make one complete cycle every 2 seconds.

Penny

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