A tractor has rear wheels with a radius of 1.00 m and front wheels with a radius of 0.250 m. The rear wheels are rotating at 100 rev/min. Find (a) the angular speed of the front wheels in revolutions per minute and (b) the distance covered by the tractor in 10.0 min.

Explanation

To solve the problem step by step, let's break it down into two parts as specified in the question.

### Part (a): Find the angular speed of the front wheels in revolutions per minute (rpm).

1. **Given Data**:
- Radius of rear wheels, \( r_r = 1.00 \, \text{m} \)
- Radius of front wheels, \( r_f = 0.250 \, \text{m} \)
- Angular speed of rear wheels, \( \omega_r = 100 \, \text{rev/min} \)
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