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

Sagot :

MrRoyal

Answer:

[tex]Total\ Rotation = 225^{\circ}[/tex]

Step-by-step explanation:

Given

See attachment for nut

Required

Determine the angle of rotation

The total angle in the nut is:

[tex]\theta = 360^{\circ}[/tex]

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

[tex]Each\ Rotation=\frac{360^{\circ}}{8}[/tex]

[tex]Each\ Rotation=45^{\circ}[/tex]

From position 8 to 5, there are 5 movements.

So, the total rotation is:

[tex]Total\ Rotation = Each\ Rotation * Moves[/tex]

[tex]Total\ Rotation = 45^{\circ} * 5[/tex]

[tex]Total\ Rotation = 225^{\circ}[/tex]

View image MrRoyal
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