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The maximum velocity of a body vibrating with single harmonic motion has a period of π/4 & amplitude of 7 cm is?
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?The maximum velocity of a body vibrating with single harmonic motion ...


Maximum Velocity of a Body in Single Harmonic Motion

To calculate the maximum velocity of a body vibrating with single harmonic motion, we need to use the formula:

vmax = ωA

where vmax is the maximum velocity, ω is the angular frequency, and A is the amplitude of the vibration.

Given Parameters:
- Period (T) = π/4
- Amplitude (A) = 7 cm

Calculating Angular Frequency:
The angular frequency (ω) can be calculated using the formula:

ω = 2π / T

Substitute the value of T into the formula:
ω = 2π / (π/4)
ω = 8π

Calculating Maximum Velocity:
Now, substitute the values of ω and A into the formula for maximum velocity:
vmax = 8π * 7
vmax = 56π cm/s

Therefore, the maximum velocity of the body vibrating with single harmonic motion is 56π cm/s.
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?The maximum velocity of a body vibrating with single harmonic motion ...
56 cm/sec
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