The radius of a car wheel is 0.4 m the car is accelerated from rest by an angular acceleration
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The radius of a wheel of a car is 0.4 m. The car is accelerated from the rest by angular acceleratin of 1.4 radian/sec square for 20 sec. How much diatancethe wheel covers in this time and what will be its linear velocity
Given . Radius of the wheel , r = 0.4 m
angular acceleration α =1.4 rad/ sec2
time , t = 20 sec
Initial angular speed of the wheel wo =0 rad / sec
Using euquation
θ =w0t +12 αt2θ = 0+ 12 ×1.4 ×20×20 θ=280 radian
Distance covered by the wheel
If
θ = 2π radian , distance (s) =2π r ⇒for θ =280 radion , distance (s) = 280 × 0.4 = 112 m linear velocity , V =r w using w = w0 +α t w =1.4×20 = 28 rad/ sec V = 0.4×28 = 112 m/s
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if not then comment me
The radius of a wheel of a car is 0.4 m. The car is accelerated from the rest by angular acceleratin of 1.4 radian/sec square for 20 sec. How much diatancethe wheel covers in this time and what will be its linear velocity
Given . Radius of the wheel , r = 0.4 m
angular acceleration α =1.4 rad/ sec2
time , t = 20 sec
Initial angular speed of the wheel wo =0 rad / sec
Using euquation
θ =w0t +12 αt2θ = 0+ 12 ×1.4 ×20×20 θ=280 radian
Distance covered by the wheel
If
θ = 2π radian , distance (s) =2π r ⇒for θ =280 radion , distance (s) = 280 × 0.4 = 112 m linear velocity , V =r w using w = w0 +α t w =1.4×20 = 28 rad/ sec V = 0.4×28 = 112 m/s
I hope this will help you
if not then comment me
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