Question

A plane moving with velocity V turn by some angle and its speed remains same V find change in velocity in ppane

Answer 1

Answer:

Since, magnitude of velocity, i.e speed, is constant, thus no change in magnitude of velocity.

But, magnitude of change in velocity is given as:

∣ vf − vi ∣= root(v2 +v 2 −2.v.v.cosθ)

=vroot(1−cosθ)

Now, 1−cos2θ=2sin 2θ,or1−cosθ=2sin2 θ/2

Thus, magnitude of change in velocity =vroot(4sin 2θ/2)

=2v.sin(θ/2)