If the frequency of a system undergoing simple harmonic motion doubles, by what factor does the maximum value of acceleration ch
ange?
a. 4
b. 2/pi
c. 2
d. (2)^1/2
1 answer:
Answer:
the answers the correct one is a 4
Explanation:
The centripetal acceleration is by
a = v² / R
angular and linear velocities are related
v = w R
let's substitute
a = w² R
for initial condition
a₀ = w₀² R
suppose the initial angular velocity is wo, suppose the angular velocity doubles
a = (2w₀)² R
a = 4 (w₀² R)
a = 4 a₀
when reviewing the answers the correct one is a
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