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If the frequency of a system undergoing simple harmonic motion doubles, by what factor does the maximum value of acceleration change? a. 4 b. 2/pi c. 2 d. (2)^1/2
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If the frequency of a system undergoing simple harmonic motion doubles, by what factor does the maximum value of acceleration change?

a. 4
b. 2/pi
c. 2
d. (2)^1/2

User Guyts
by
4.8k points

1 Answer

2 votes

Answer:

the answers the correct one is a 4

Step-by-step 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

User Leoj
by
5.1k points
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