Question

the distance curved by a wheel​

Answer 1

Answer:

There is nothing wrong with your calculation.

The two wheels roll around different circles in the same time. The difference in speed is proportional to the difference in circumference, which is always 2π times the difference in radius, which is the width B of the vehicle :

C=2πR

ΔC=2πΔR=2πB

The difference in circumference, and therefore also the difference in the speed of the wheels, is independent of the radius R. So it is impossible to find radius from difference in speeds.

However, you can determine the radius R of the turning circle from the ratio of speeds of the two wheels, as follows :

Suppose that the car turns through a small angle θ on a circle of radius R as measured from the centre of the vehicle, which has width 2b. Then the wheels trace out arc lengths s1=(R−b)θ,s2=(R+b)θ. Their speeds are in the ratio

v2v1=s2s1=R+bR−b

The radius of the turning circle is therefore

R=v2+v1v2−v1b

Step-by-step explanation:

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Answer 2

Answer:

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