Question
Asked Sep 21, 2019
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To study the performance of a race car, a high-speed camera is positioned at point A. The camera is mounted on a mechanism which permits it to record the motion of the car as the car travels on straightaway BC. It took 0.5 s for the car to travel from the position θ = 60° to the position θ = 35°. Knowing that b = 24 m, determine the average speed of the car during the 0.5-s interval. 

The average speed of the car during the 0.5-s interval is ______ km/h.

 

В
C
b
A
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В C b A

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Step 1

Given that:

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в В - 24т в - 35° в - 60° Дх х60 60° x35 Сar 35° А 24m с

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Step 2

Formula used to find out the average speed of the car is

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Δx .(1) Δε Here a is average speed of the car, total average distance between the angles 35° to 60° is ax and At is the time interval Use figure to write the tangent angle for tan60= 24 x-24tan 60 -2) similarly for the angle 35° tan 35 5 24 X35 24tan 35. (3)

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Step 3

Find out the difference between the positions to find the total distance trav...

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Axx-35 put the value ofx andx3; from the equation 2 and 3 Ar 24 tan 60° -24 tan 35 substitute Ax in the equation (1) 24tan 60° -24tan350 ave 0.5 V49.52m/s 3600 kgnh V49.52x 1000 ave 178.3km/h ave

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Engineering

Mechanical Engineering

Classical Mechanics

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