Question

3. The number of revolutions made by a tire traveling over a fixed distance varies inversely to the radius of the
tire. A 12-inch radius tire makes 100 revolutions to travel a certain distance. How many revolutions would a
16-inch radius tire require to travel the same distance?

Answer 1

Answer:

Most people when asked, “What is the equation of a line?”, will answer, “y = mx + b”. This is the

equation of a line in what is called slope-intercept form where “m” is the slope and “b” is the yintercept. So, how do you find the equation of a line? There are several different ways that you can find

the equation of a line. I find the equation of a line everytime by following the same three steps:

Step 1: Find the slope of the line.

Step 2: Use the slope to find the y-intercept.

Step 3: Use steps 1 and 2 to write the answer.

I will explain these steps by looking a several examples. Please understand that there are often several

different ways to complete each math problem, but I have found through the years that students are most

successful when the do problems the same way each and every time they attempt the problem. If you

know a different way to find the answer that is great, but I am going to show how to do the problem one

way and use the same technique everytime I see this problem.

Explanation:

Answer 2

The ratio of number of revolution to the radius of the tire will be constant since the distance is constant.  16 - inch radius tire will require 75 revolutions to travel the same distance.

CIRCULAR MOTION

When all points in a body move in concentric circles is known as rotational or circular motion. Below are few facts about circular motion.

• Speed is constant

• Velocity keeps changing

• Acceleration acts toward the center.

Given that the number of revolutions N made by a tire traveling over a fixed distance D varies inversely to the radius r of the tire. That is

N $\alpha$ 1/r

N = K/r

K = Nr

Where K = Proportionality constant

If a 12-inch radius tire makes 100 revolutions to travel a certain distance, Then,

K = 100 x 12

K = 1200 rev inches

How many revolutions would a 16-inch radius tire require to travel the same distance?

by applying the same formula, let us substitute r for 16 inches and 1200 for K

K = Nr

1200 = N x 16

N = 1200/16

N = 75 revolutions

Therefore, 16 - inch radius tire will require 75 revolutions to travel the same distance.

Learn more about circular motion here: https://brainly.com/question/20905151