An object in shm oscillates with a period of 4.0s and an amplitude of 17 cm . How long does the object takes to move from 0 to 5.2 cm
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# Answer- 0.2s
# Explanation-
# Given=
T=4s
A=17cm
x=5.2cm
# Solution
x = Asin(wt)
5.2 = 17sin(wt)
But
w=2πf
w=2π/T
w=2π/4
w=π/2
Hence
sin(πt/2)=0.3058
πt/2=17.81°
t=17.81/90
t=0.197s.
Approx t=0.2s
# Explanation-
# Given=
T=4s
A=17cm
x=5.2cm
# Solution
x = Asin(wt)
5.2 = 17sin(wt)
But
w=2πf
w=2π/T
w=2π/4
w=π/2
Hence
sin(πt/2)=0.3058
πt/2=17.81°
t=17.81/90
t=0.197s.
Approx t=0.2s
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