Question #210397

If mama drives a car in a circle path, from point A and come back to the point A. With path's long is 1000 m and velocity is 100m/s, time's taken is 10 s. Hence, Determine the displacement vs time's graph


1
Expert's answer
2021-06-24T16:14:00-0400

L=2Rsin(α2)=2Rsin(ωt2)=2Rsin(2πt2T)=L=2R\cdot\sin(\frac{\alpha}{2})=2R\cdot\sin(\frac{\omega t}{2})=2R\cdot\sin(\frac{2\pi t}{2T})=


=2Rsin(πt10)=2R\cdot\sin(\frac{\pi t}{10})


l=2πRR=l/(2π)=1000/(2π)=159.2 (m)l=2\pi R\to R=l/(2\pi)=1000/(2\pi)=159.2\ (m) . So, the displacement vs time


L=2159.2sin(πt10)=318.3sin(πt10)L=2\cdot 159.2\cdot\sin(\frac{\pi t}{10})=318.3\cdot\sin(\frac{\pi t}{10}) . Answer







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