Question

Starting from rest, the boy runs outward in the radial direction from the centre of the platform with a constant acceleration of 0.5 m/s2. If the platform is rotating at a constant rate of θ = 0.2 rad/s, determine the radial and tangential components of the velocity and acceleration of the boy at t = 3s.

Answer 1

His velocity when t= 3 sec is V= 1.56 m/s

Step-by-step explanation:

a= 0.5 m/s²

ω= 0.2 rad/s

t= 3 sec

Vr= a*t

Vr= 1.5 m/s

r= a*t²/2

r= 2.25m

Vt= w*r

Vt= 0.45 m/s

V= √(Vr²+Vt²)

V= 1.56 m/s