Rotating Wheel SHM: Piston Distance Calculation

AI Thread Summary
The discussion centers on calculating the distance of a piston from its end position after 0.10 seconds, given a rotating wheel with an angular speed of 12 rad/s and a radius of 30 cm. The calculation involves determining the angular displacement, which is found to be 1.2 radians. Using the formula for displacement from the equilibrium point, the calculated distance from the end position is 0.19 meters. The accuracy of the calculations is confirmed by participants, with one suggesting that the original poster could seek clarification from their teacher. The conversation reflects a mix of academic inquiry and personal study experiences.
shan
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I just need someone to tell me if I've done the problem right since the answer is mysteriously missing

The question is about a rotating wheel causing a piston to execute SHM inside a cylinder (the piston being connected to the outside of the wheel). The wheel rotates with an angular speed of 12rads-1 and it has a radius of 30cm.

What will be the distance of the piston from an end position after 0.10s?

ω = θ/t
θ = 12x0.1 = 1.2rad

displacement from equilibrium point = amplitudexCosθ = 0.3xCos1.2 =0.1087m

so distance from end position = 0.3-0.1087 = 0.19m (2sf)
 
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Well I've read through it and it looks OK to me. Couldn't you just have asked your teacher though?
 
School's out and I'm on my study leave...
 
Lucky you, I'm in school until almost Christmas. Then I have exams (with very little study leave) in January.
 

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