What-is-the-maximum-magnitude-of-change-in-velocity-of-a-motorcycle-moving-with-a-uniform-speed-v-0-in-a-circular-path-of-length-l-pi-3-R-and-radius-R-Treat-motorcycle-as-a-particle-1-v-

Question Number 16505 by Tinkutara last updated on 23/Jun/17

What is the maximum magnitude of

change in velocity of a motorcycle

moving with a uniform speed v_{0} in a

circular path of length l = \frac{π}{3} R and

radius R ? Treat motorcycle as a

particle

(1) ∣ Δ \vec{v} ∣ = \frac{v_{0}}{2}

(2) ∣ Δ \vec{v} ∣ = v_{0}

Answered by ajfour last updated on 23/Jun/17

∣ Δ \vec{v} ∣^{2} = ∣ {\vec{v}}_{f} - {\vec{v}}_{i} ∣^{2}

= v_{i}^{2} + v_{f}^{2} - 2 v_{i} v_{f} \cos θ

= v_{0}^{2} + v_{0}^{2} - 2 v_{0}^{2} \cos (π / 3)

= v_{0}^{2}

t h e r e f o r e o p t i o n (2) .

Commented by ajfour last updated on 23/Jun/17

Commented by Tinkutara last updated on 24/Jun/17

Thanks Sir!