A point on the rim of a wheel moves 0.2 m when the wheel turns through an angle of 0.1 rad. What is the radius of the wheel?
Correct answer: B. 2 m
- A. 0.5 m
- B. 2 m
- C. 0.2 m
- D. 20 m
Explanation
In this question, we are dealing with motion in two dimensions, specifically the movement of a point on the rim of a wheel. The distance moved along the rim of the wheel is given by the formula s=rθ, where s is the distance, r is the radius, and θ is the angle in radians. Given s=0.2 m and θ=0.1 rad, we can rearrange the formula to solve for the radius r=s/θ. Substituting the values, we get r=0.2 m / 0.1 rad = 2 m. Therefore, the radius of the wheel is 2 meters. Option A, C, and D are incorrect as they do not provide the correct radius based on the given values.
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