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A cyslist is traveilling on a circular ...

A cyslist is traveilling on a circular section of highway of radius 2500 ft at the speed of 60 mile/h. The cyclist suddenly applies the brakes causing the bicycle to slow down at constant rate. Knowing that after 8 second,the speed has been reduced to 45 mile/h. The acceleration of the bicyle immediately after the breakes have been applied. is

A

`2 ft//s^(2)`

B

`4.14 ft//s^(2)`

C

`3.10 ft//s^(2)`

D

`2.75 ft^(2)//s`

Text Solution

AI Generated Solution

To find the acceleration of the bicycle immediately after the brakes have been applied, we need to calculate both the tangential and radial components of acceleration. Here’s the step-by-step solution: ### Step 1: Convert Speeds from Miles per Hour to Feet per Second We need to convert the speeds given in miles per hour to feet per second for consistency in units. 1 mile = 5280 feet 1 hour = 3600 seconds ...
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