Answered

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

Verified Answer :

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

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:

\(v = 28 \frac{m}{s}
\)