Answer:
203 rpm
Step-by-step explanation:
The speed of the larger gear can be calculated using the following equation:
<u>Where</u>:
ω: is the angular velocity of the motor = 700 rpm
R: is the gear ratio
The gear ratio is the following:
<u>Where:</u>
n(a): is the number of teeth on the small gear = 12 teeth
n(b): is the number of teeth on the larger gear = 42 teeth
The gear ratio is:
Now, the speed of the larger gear is:
Therefore, the speed of the larger gear is 203 rpm.
I hope it helps you!
Answer:
About 22.2 square feet
Step-by-step explanation:
First, you need to find the area of the full circle. The area of a circle is \pi r^2, which in this case is:

Now, since the sector is only 50 out of the total 360 degrees in a circle, you need to multiply this value by 50/360, which yields and area of about 22.2 square feet. Hope this helps!
Answer:
42 days
Step-by-step explanation:
1 week equals 7 days
7 × 6 = 42
Answer:
The only thing you will do is to plug the x in the equation.
x = -2 ---> f(x) = -6
x = 0 ---> f(x) = 0
x = 3 ---> f(x) = 9
x = 7 ---> f(x) = 21
f(x) = 3x
f(-2) = <u>3(-2)</u>
f(-2) = -6
f(0) = <u>3(0)</u>
f(0) = 0
f(3) = <u>3(3)</u>
f(3) = 9
21 = 3x
<u>21 / </u><u>3</u> = <u>3x / 3</u>
7 = x
Hope this helps, thank you :) !!