Question

A compact centrifugal pump of mass m = 4kg is mounted on a flexible support at the end of a shortcantilever beam. When the pump runs at 1000 pm, its housing is observed to vibrate with amplitude 0.02 m. By neglecting the mass and damping of the support beam, determine the pump speed at which the dynamic amplification is less than 10% about the static-equilibrium deflection:Assume: k = 14,400 N/mGiven: The dynamic magnification factor (M) (also called the dynamic amplification factor) is givenby M = 1 / | 1 - (w / wn)

          A compact centrifugal pump of mass m = 4kg is mounted on a flexible support at the end of a shortcantilever beam. When the pump runs at 1000 pm, its housing is observed to vibrate with amplitude 0.02 m. By neglecting the mass and damping of the support beam, determine the pump speed at which the dynamic amplification is less than 10% about the static-equilibrium deflection:Assume: k = 14,400 N/mGiven: The dynamic magnification factor (M) (also called the dynamic amplification factor) is givenby M = 1 / | 1 - (w / wn)

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Added by Michael M.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Aniket Bajaj

02/03/2023

Step 1

- Mass of pump, \( m = 4 \, \text{kg} \) - Stiffness of support, \( k = 14,400 \, \text{N/m} \) - Operating speed, \( N = 1000 \, \text{rpm} \) - Vibration amplitude at 1000 rpm, \( x = 0.02 \, \text{m} \) - Dynamic magnification factor (M) formula: \[ M = Show more…

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A compact centrifugal pump of mass m = 4kg is mounted on a flexible support at the end of a shortcantilever beam. When the pump runs at 1000 pm, its housing is observed to vibrate with amplitude 0.02 m. By neglecting the mass and damping of the support beam, determine the pump speed at which the dynamic amplification is less than 10% about the static-equilibrium deflection:Assume: k = 14,400 N/mGiven: The dynamic magnification factor (M) (also called the dynamic amplification factor) is givenby M = 1 / | 1 - (w / wn)

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