Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
An engine piston has a stroke of (the full length of its path). The crank turns at turns each minute. Treat the piston's motion as SHM. Find its frequency, its largest speed and its largest acceleration.
In SHM, and , so at the mean position. The acceleration is , so at the ends.
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. Amplitude. .
Step 2. Frequency. , so .
Step 3. Speed. .
Step 4. Acceleration. , about .
Answer: , and , more than times . Engine parts must be strong to take forces like this at every stroke.
Watch out. A real piston is driven by a crank and a connecting rod, so its motion is only close to SHM. The numbers here are a good estimate.
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