Question

A particle executes SHM and its position varies with time as x = A sin wt. Its average speed during its motion from mean position to mid point of mean and extreme position is

Read 2 Solution.


total distance = A/2
total time = t (suppose)

then, A/2 = A sin wt
A/2 = A sin (2pi/T)t           {because w= 2pi/T}

1/2 = sin (2pi/T)t

sin(pi/6) =sin(2pi/T)t

pi/6 = (2pi/T)t

t= T/12

avg. speed = total distance / total time

v = (A/2)/(T/6)

v= 3A/T

v= 3A/(2pi/w)

v= 3Aw/2pi

 
SANKALP SINGH DEV 10 year ago is this solution helpfull: 51 66
UM∆R KH∆N 9 year ago is this solution helpfull: 23 34

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