Two gears are adjusted so that the smaller gear drives the larger one. if the smaller gear of 3.7cm rotates through an angle of 300° through how many degrees does the larger gear of 7.1cm rotate please help me

The larger gear will rotate through 156°

Step-by-step explanation:

Arc Length

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°

answer: i don't understand. what are the options

step-by-step explanation: