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College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

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BuyFindarrow_forward

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

A car’s 30.0-kg front tire is suspended by a spring with spring constant k = 1.00 × 105 N/m. At what speed is the car moving if washboard bumps on the road every 0.750 m drive the tire into a resonant oscillation?

To determine
The speed of the car moving after the washboard bumps on the road.

Explanation

Given Info: The spring constant is k=1.00×105N/m and mass of the car is 30.0kg

Formula to calculate the oscillation frequency is,

ω=km

  • k is the spring constant,
  • m is the mass of the car,
  • ω is the oscillation frequency,

Substitute 1.00×105N/m for k and 30.0kg for m.

ω=1.00×105N/m30.0kg=0.577×102rad/s57.7rad/s

Formula to calculate the time taken by the car is,

T=2πω

Substitute 57

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