# Calculate a wave velocity when a force of 500 acts on a system with mass per unit length 0.25kg/m

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by sryadav1986

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by sryadav1986

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Assuming the force acting as tension in a string;

Force, F = 500N

linear mass density, μ = 0.25 kg/m

v = ?

Force, F = 500N

linear mass density, μ = 0.25 kg/m

v = ?

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.

Force F = 500 Newtons / unit length

mass / unit length of the system = 0.25 kg / meter = mass/length

acceleration a = F / m = 500 / 0.25

= 2,000 m/sec²

assuming that the force is acting uniformly along the length of the system.

velocity = u + a t = at if initial velocity u = 0, as the system starts from rest.

v = 2,000 t, where t = time.

mass / unit length of the system = 0.25 kg / meter = mass/length

acceleration a = F / m = 500 / 0.25

= 2,000 m/sec²

assuming that the force is acting uniformly along the length of the system.

velocity = u + a t = at if initial velocity u = 0, as the system starts from rest.

v = 2,000 t, where t = time.