Answered: A race car goes around the level…

A race car goes around the level circular track with the diameter of 1.00 km at a constant speed of 88 km/h what is the cars centripetal acceleration in m/s ^2?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter3: Motion In Two Dimensions

Section: Chapter Questions

Problem 12OQ

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Concept explainers

Centripetal Force

A particle, body, object or certain mass while travelling in a rotational path or semicircular path, experiences an inertia force. If that inertia force pulls the towards the inward of the imaginary circle in the rotation, it is termed as centripetal force.

Question

A race car goes around the level circular track with the diameter of 1.00 km at a constant speed of 88 km/h what is the cars centripetal acceleration in m/s ^2?

Expert Solution

Step 1

Write the given values with suitable variables.

$\begin{array}{rcl} r & = & \frac{1 km}{2} \\ = & 0.5 km \times \frac{1000 m}{1 km} \\ = & 500 m \\ v & = & 88 km / h \\ = & 88 km / h \times \frac{0.2778 m / s}{1 km / h} \\ = & 24.44 m / s \end{array}$

Here, r denotes the radius and v denotes the speed.

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