Answer:
<em>The larger gear will rotate through 156°</em>
Step-by-step explanation:
<u>Arc Length</u>
The arc length S of an angle θ on a circle of radius r is:
Where θ is expressed in radians.
The smaller gear of r1=3.7 cm drives a larger gear of r2=7.1 cm. The smaller gear rotates through an angle of θ1=300°.
Convert the angle to radians:
The arc length of the smaller gear is:
The larger gear rotates the same arc length, so:
Solving for θ2:
The larger gear will rotate through 156°
