Can someone please help me figure this out (trig) (pre calc)

1. x = 1.5 rpm

2. x ≈ 0.8182 mi/hr

3. x = 6.6 feet

4. x = 4224 rpm

5. x = 390 rpm

Step-by-step explanation:

The relationship between angular speed and linear speed is given as follows;

Angular speed, ω = Linear speed, v/(Radius, r)

Therefore, we have;

1. When v = 12 cm/min = r = 8 cm , ω = 12/8 = 1.5 rpm

2. When, ω = 4 rpm, and  r = 18 feet, v = 4 × 18 = 72 feet/min ≈ 0.8182 mi/hr

3. When, ω = 800 rpm, and v = 60 mi/hr = 1 mi/min, r = x = 1/800 miles = 6.6 feet

4. When v = 60 mi/hr = 63,360 mi/min, r = 15 in , ω = 63360/15 = 4224 rpm

5. When v = 13 in/sec = 780 in/min, r = 2 in, ω = 780/2 = 390 rpm