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I asked this question already a couple of days back, and someonewas kind enough

ID: 1759634 • Letter: I

Question

I asked this question already a couple of days back, and someonewas kind enough to answer. At that time I thought the methodemployed would work, but when I tried to tackle this problem today,the method didn't work. Here's my question again:
A wheel with a radius of 53.0 cmrolls without slipping along a horizontal floor. Attime t1,the dot P paintedon the rim of the wheel is the point of contact between the wheeland the floor, as shown in th figure below. At a latertime t2,the wheel has rolled through oneand a half revolutions.
So I'm asked tofind themagnitude of the displacement of P and the angle(relative to the floor) of the displacement ofP.
I found the magnitude to be 7.8952 cm and the angle as 32.4816, butmy answers are incorrect. If anyone wants to check out the earlierpost, here's the link /physics-answers-5-634282-cpi0.aspx.  Theanswers aren't working for me, although I get how the problemshould be approached. I would really appreciate if someonecould help me out. Thank you!


A wheel with a radius of 53.0 cmrolls without slipping along a horizontal floor. Attime t1,the dot P paintedon the rim of the wheel is the point of contact between the wheeland the floor, as shown in th figure below. At a latertime t2,the wheel has rolled through oneand a half revolutions.
So I'm asked tofind themagnitude of the displacement of P and the angle(relative to the floor) of the displacement ofP.
I found the magnitude to be 7.8952 cm and the angle as 32.4816, butmy answers are incorrect. If anyone wants to check out the earlierpost, here's the link /physics-answers-5-634282-cpi0.aspx.  Theanswers aren't working for me, although I get how the problemshould be approached. I would really appreciate if someonecould help me out. Thank you!


So I'm asked tofind themagnitude of the displacement of P and the angle(relative to the floor) of the displacement ofP.
I found the magnitude to be 7.8952 cm and the angle as 32.4816, butmy answers are incorrect. If anyone wants to check out the earlierpost, here's the link /physics-answers-5-634282-cpi0.aspx.  Theanswers aren't working for me, although I get how the problemshould be approached. I would really appreciate if someonecould help me out. Thank you!

Explanation / Answer

radius r = 53 cm = 0.53 m circumference S = 2r                           = 3.33 m The magnitude of displacement of P = 1.5 * S                                                        = 4.9951 m Required angle = 1.5 * 360 degrees                           = 540 degrees                            = 540 *( / 180 )                            =9.424 rad
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