How far will a point on the edge of the wheel have traveled in this time? And how do you show the Calculations

Question

A wheel 33 cm in diameter accelerates uniformly from 240 rpm to 360 rpm in 6.5 s. How far will a point on the edge of the wheel have traveled in this time, and how do you formulate the calculations?

Answer 1

Not difficult.
Uncover what information you have.
Circumference of wheel = 33pie

1 revolution it will cover 240 x 33pie metres,= 7920pie
so initial speed, u = 7920pie m/s
and final speed, v = 360 x 33pie
= 11880pie m/s

let the total distance covered by this point of the wheel be s.
s = 1/2 (u+v) t
= 1/2 x 19800pie x 6.5
= 64350pie m

(sorry. i was using mental calculations. so i left the answer in pie)