# Answer on Mechanics | Relativity Question for aruba

Question #16150

A car starts from rest on a curve with a radius of 100m and accelerates at 1.0m/s^2 .Through what angle will the car have traveled when the magnitude of its total acceleration is 2.1m/s^2 ?

Expert's answer

Angle (in radians) X = (2 * Pi) * L / (2 * Pi * R) = L / R

Total acceleration

at = a + V^2 / R

V = sqrt( (at - a) * R )

t = a / V = a / sqrt( (at - a) *

R )

X = L / R = (a * t^2 / 2) / R = (a * (a / sqrt( (at - a) * R ))^2 /

2)

/ R = (a * (a^2 / ( (at - a) * R ) / 2) / R = (a^3 / ( 2 * (at - a)

*

R^2 )) = 1^3 / ( 2 * 1.1 * 100^2 ) = 1 / 22000

Answer: 1 / 22000

radians.

Total acceleration

at = a + V^2 / R

V = sqrt( (at - a) * R )

t = a / V = a / sqrt( (at - a) *

R )

X = L / R = (a * t^2 / 2) / R = (a * (a / sqrt( (at - a) * R ))^2 /

2)

/ R = (a * (a^2 / ( (at - a) * R ) / 2) / R = (a^3 / ( 2 * (at - a)

*

R^2 )) = 1^3 / ( 2 * 1.1 * 100^2 ) = 1 / 22000

Answer: 1 / 22000

radians.

Need a fast expert's response?

Submit orderand get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

## Comments

## Leave a comment