Question

What is the tangential speed of the plane?
A remote-controlled plane has a mass of 0.386 kg and flies in a circle with a radius of 75 m. The centripetal force on the plane is 4.0 N.
11 m/s
28 m/s
45 m/s
784 m/s

Answer 1

mv^2/r  = Fcent0.386 v^2/75 = 4v=root (4x75/0.386)27.8 and round

Answer 2

By definition, the centripetal force is given by:

$F = m * (\frac{v ^ 2}{R})$

Where,

m: mass of the object

v: object speed

R: radius of the circle

Rewriting the equation we have:

$v ^ 2 = \frac{FR}{m}$

$v=\sqrt{\frac{FR}{m}}$

Substituting values we have:

$v =\sqrt{\frac{4 * 75}{0.386}} v = 27.9$

Rounding the nearest whole we have:

$v = 28 \frac{m}{s}$

Answer:

The tangential speed of the plane is:

$v = 28 \frac{m}{s}$