Please help with the attached problem RELATIVE MOTION6) Cars A and B are traveling around the circular race track. At the instantshown, A has a speed of 90 ft/s and is increasing its speed at the rate of15 ft/s?, whereas B has a speed of 105 ft/s and is decreasing its speed at25 ft/s?. Determine the relative velocity and relative accleration of the carA with respect to car B at this instant.Partial Ans. äap = 10.69 i + 16.70 j ft/s?TA = 300 ft60°TB = 250 ft|

Given Data: The speed of car A is VA = 90 ft/s. The speed of car B is VB = 105 ft/s. The tangential…

Answered: 6) Cars A and B are traveling around…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Please help with the attached problem

RELATIVE MOTION
6) Cars A and B are traveling around the circular race track. At the instant
shown, A has a speed of 90 ft/s and is increasing its speed at the rate of
15 ft/s?, whereas B has a speed of 105 ft/s and is decreasing its speed at
25 ft/s?. Determine the relative velocity and relative accleration of the car
A with respect to car B at this instant.
Partial Ans. äap = 10.69 i + 16.70 j ft/s?
TA = 300 ft60°
TB = 250 ft|

Expert Solution

Step 1

Given Data:

The speed of car A is V_A = 90 ft/s.
The speed of car B is V_B = 105 ft/s.
The tangential acceleration of car A is ${(a_{t})}_{A}$ = 15 ft/s².
The tangential acceleration of car B is ${(a_{t})}_{B}$ = 25 ft/s².
The radius of car A is r_A =300 ft.
The radius of car B is r_B = 250 ft.

The centripetal acceleration of both the cars can be determined as,

$\begin{array}{rcl} {(a_{c})}_{A} & = & \frac{{V_{A}}^{2}}{r_{A}} \\ = & \frac{{(90 ft / s)}^{2}}{300 ft} \\ = & 27 ft / s^{2} \\ {(a_{c})}_{B} & = & \frac{{V_{B}}^{2}}{r_{B}} \\ = & \frac{{(105 ft / s)}^{2}}{250 ft} \\ = & 441 ft / s^{2} . \end{array}$

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