A body undergoing simple harmonic motion has values for the maximum magnitude of its velocity and acceleration of 1.6 ms -1 and 8π ms -2 respectively. Calculate the period of its oscillations.
Ans:
A. 6.4 x 10 -2 s
B. 1.0 x 10 -2 s
C. 0.40 s
D. 2.5 s
E. 16 s
F. 40 s
Calculate the period
2008-03-03 3:17 am
回答 (1)
2008-03-03 4:37 am
✔ 最佳答案
letx=Acosωt
then
v=-Aωsinωt
a=-Aω²cosωt
1.6=-Aωsinωt-----(1)
5π=-Aω²cosωt-----(2)
(2)/(1):ω=2πT=5π
T=2.5s
i.e. D
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