Starting from rest, the boy runs outward in the radial direction from the center of the platform with a constant acceleration of 0.5 m/s2. The platform rotates at a constant rate of 0.2 rad/s. Determine his velocity (magnitude) when t = 3 sec

Question

Tammy

Physics

1 January, 08:44

Starting from rest, the boy runs outward in the radial direction from the center of the platform with a constant acceleration of 0.5 m/s2. The platform rotates at a constant rate of 0.2 rad/s. Determine his velocity (magnitude) when t = 3 sec

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Answers (1)

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Erica Friedman · Answer 1

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

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