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3 years ago

6

The roller coaster car reaches point A of the loop with speed of 20 m/s, which is increasing at the rate of 5 m/s2. Determine th

e magnitude of the acceleration at A if pA

1 answer:

slavikrds [6]3 years ago

6 0

Answer and Explanation:

Data provided as per the question is as follows

Speed at point A = 20 m/s

Acceleration at point C = $5 m/s^2$

$r_A = 25 m$

The calculation of the magnitude of the acceleration at A is shown below:-

Centripetal acceleration is

$a_c = \frac{v^2}{r}$

now we will put the values into the above formula

= $\frac{20^2}{25}$

After solving the above equation we will get

$= 16 m/s^2$

Tangential acceleration is

$= \sqrt{ac^2 + at^2} \\\\ = \sqrt{16^2 + 5^2}\\\\ = 16.703 m/s^2$

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