Question from Genius Tech Game about Piston Movement.?

Question

Question

the piston has a displacemet of 10cm rises and falls 50 times per second. Calculate average acceleration that occurs between the start/stop point and the middle of the cycle?

Hint

this occurs 50 times a minute. With 50 times 20cm, u can figure out the average speed in m/s. Then I would calculate the piston needs to travel the 5 cm to thr midpoint. if you take formula for acceleration: s=(1/2)at² and turn things around a bit, I think you'll have it

Find a= m/s²

Hopefully anyone from here can help me. Thanks

Answer 1

Displacement tells nothing about the stroke.

Could be a small bore with a long stroke, a long stroke with a small bore.

And, is it, 50/sec.,or 50/min?

And are you running nitro, or alcohol, naturally aspirated, or turbo injected?

Answer 2

They gave you the answer already, but not quite sure what they gave you is complete!

Displacement is physics term for directed distance.

For 50 cycles/sec, each cycle is 1/50 sec. Each cycle consists of an upstroke and a down stroke, so 1/100 sec per stroke, and 1/200 sec per 1/2 stroke.

s = 5cm = 1/2 * a * (1/200)²

Rearranging,

a [in cm/sec²] = 5cm * 2 /(1/200)²