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2 years ago

A metal sign for a car dealership is a thin, uniform right triangle with base length b and height h. the sign has mass m.

Physics

1 answer:

Nesterboy [21]2 years ago

3 0

(a) The moment of inertia of the sign for rotation about the side of length h is 1.24 kgm².

(b) The kinetic energy of the sign when it is rotating about an axis is 141.37 J.

<h3>Moment of inertia of the triangular sign</h3>

The moment of inertia of the sign for rotation about the side of length h is calculated as follows;

I = 2 x ¹/₃M(b/2)²

I = 2 x ¹/₃Mb² x ¹/₄

I = ¹/₆Mb²

I = ¹/₆ x 4.4 x 1.3²

I = 1.24 kgm²

<h3>Rotational kinetic energy of the ball</h3>

K.E(rot) = ¹/₂Iω²

where;

ω is angular speed = 2.4 rev/s = 2.4 x (2π rad)/s = 15.1 rad/s

K.E(rot) = ¹/₂(1.24)(15.1)²

K.E(rot) = 141.37 J

Learn more about rotational kinetic energy here: brainly.com/question/25803184

#SPJ1

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