# 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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2015-04-14T18:13:30+05:30

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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 = ?

2015-04-14T19:02:24+05:30

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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.