Question

a bicycle with 0.80 m diameter tires is coasting on a level road at 5.6 m/s. A small blue dot had been painted on the tread of the rear tire. What is the speed of the blue dot when it is 0.4m above the road.

Answer 1

the speed of the blue dot when it is 0.4m above the road is 7.92 m/s

Step-by-step explanation:

If the blue dot is 0.4m above the road, then it is at exactly half of the tire diameter. Thus, the vertical component on the velocity (Vj) = 5.6 m/s and the horizontal component of the velocity(Vi) is 5.6 m/s.

V = (5.6i + 5.6j)

From vector laws, the magnitude of the vector becomes;

`V =√(5.6^2 + 5.6^2) = 7.92(m)/(s)`

Therefore, the speed of the blue dot when it is 0.4m above the road is 7.92 m/s