Answer:
<u>Part 1:</u> Angle = 154.3°
<u>Part 2:</u> About 2.33 Rotations
Step-by-step explanation:
Part 1:
The arc length of a circle is given by the formula
Where
- s is the arc length
- r is the radius of the circle
- is the angle
**The angle are in radians and we will use radian**
When smaller gear has made 1 complete rotations ( radians), the arc length traveled is
Now, what angle is swept by the larger circle when it travels ? Put in and r is 7 to find :
** Since radians is 180°, we plug in 180 into and find the degree measure:
Angle = 154.3°
Part 2:
In one complete rotation of the larger gear, it travels a distance of:
We know that the smaller circle makes 1 rotation and travels , so in distance, it makes:
Rotations =
About 2.33 Rotations