Circular motion of a car and curve

[pankti_ptl]

A car starts from rest on a curve with a radius of 110 and accelerates at 1.50 . How many revolutions will the car have gone through when the magnitude of its total acceleration is 3.20 ?

 

[rl.bhat]

Hi pankti_ptl, welcome to PF.
What are the units of radius and acceleration?
The problems is based on circular motion. What are relevant equation you know about circular motion?

 

[pankti_ptl]

redius in meters and acceleration in m/s^2

 

[tiny-tim]

Welcome to PF!

Hi pankti_ptl! Welcome to PF!

(is the 1.5 a constant tangential acceleration? or is it angular acceleration? )

Just use the same constant acceleration equations as for linear motion, but with θ ω and α instead of s v and a.

 

[pankti_ptl]

it says it is magnitude of total acceleration is 3.20 i dunt kno if its tangental or angular can can we diffrensiate

 

[pankti_ptl]

and for 1.5 it only says acceleration

 

[tiny-tim]

and for 1.5 it only says acceleration

As rl.bhat says, what are the units??

 

[pankti_ptl]

A car starts from rest on a curve with a radius of 110m and accelerates at 1.50m/s^2 . How many revolutions will the car have gone through when the magnitude of its total acceleration is 3.20m/s^2 ?

 

[tiny-tim]

A car starts from rest on a curve with a radius of 110m and accelerates at 1.50m/s^2 . How many revolutions will the car have gone through when the magnitude of its total acceleration is 3.20m/s^2 ?

ok, so the units are m/s².

And if the car is constrained to follow a circle (a curve of fixed radius), then this is the tangential acceleration.

So convert 1.5 m/s² into angular acceleration (α), and then use the standard constant acceleration equations, for θ ω and α.