Physics Word Problem

Physics
Tutor: None Selected Time limit: 1 Day

A racing car travels on a circular track of
radius 208 m. The car moves with a constant
linear speed of 26.3m/s.
A) Find its angular speed. Answer in units of rad/s.

B) Find the magnitude of its acceleration. Answer in units of m/s^2.

Jun 23rd, 2015

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Jun 23rd, 2015

Given: Linear speed v = 26.3 m/s, 
  Radius r = 208 m 
The angular velocity is given by ω = dθ/dt
  = 26.3/208
 = 0.126 rad/s.




Jun 23rd, 2015

acceleration?

Jun 23rd, 2015

Angular Acceleration = ω2r 
Angular Acceleration = (0.126)(2)(208) = 52.42 rad/s^2

Angular accelaration = r * linear accelaration

   linear accelaration = 52.42 / 208 = 0.252 m/s^2


Jun 23rd, 2015

Acceleration is wrong

Jun 23rd, 2015

Is time given in question

Jun 23rd, 2015

no

Jun 23rd, 2015

linear acceleration = 0.00061m/s^2

angluar acceleration = 0.000061 x 208 = 0.1696 rad/s^2

Jun 23rd, 2015

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Jun 23rd, 2015
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Jun 23rd, 2015
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