A needle of sewing machine moves along a path of amplitude 4cm with frequency 5hz . Find its acceleration 1/30 second after it has crossed the mean position
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Given:
The amplitude is x= 4 cm
The frequency is f= 5 Hz
The acceleration is a
To find:
The acceleration at 1/30 second
Solution:
The formula related to the frequency and acceleration.
a=4π²f².x
Putting the above values
a=4×(3.14)²×5²×0.004
a=39.43 m/sec²
The acceleration cross the mean position is 39.43 m/sec²
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