Question

a mechanic rotates the octagonal nut shown clockwise about its center, what is the angle of rotation that moves position 8 to position 5?

Answer 1

Answer:

$Total\ Rotation = 225^{\circ}$

Step-by-step explanation:

Given

See attachment for nut

Required

Determine the angle of rotation

The total angle in the nut is:

$\theta = 360^{\circ}$

An octagonal nut has 8 sides. So, each rotation is:

$Each\ Rotation=\frac{360^{\circ}}{8}$

$Each\ Rotation=45^{\circ}$

From position 8 to 5, there are 5 movements.

So, the total rotation is:

$Total\ Rotation = Each\ Rotation * Moves$

$Total\ Rotation = 45^{\circ} * 5$

$Total\ Rotation = 225^{\circ}$