A tire is rotating 600 times per minute. Through how many degrees does a point on the edge of the tire move in 1 minute? In 1 second?
there are 360 degrees in one revolution.
If it rotates at 600 rpm (revolutions per minute), then the angle it goes through in one minute is
600*360°.
In one second, divide the above number by 60.
3600
To find out the number of degrees a point on the edge of the tire moves in 1 minute, we need to know the circumference of the tire. Let's assume that the circumference is C.
We know that the tire is rotating 600 times per minute. This means that the point on the edge of the tire completes one rotation every 1/600th of a minute.
In one rotation, the point on the edge of the tire moves one circumference, which is equal to C.
Therefore, in 1/600th of a minute, the point on the edge of the tire moves 1/600th of the circumference, which is equal to (1/600) * C.
To find out how many degrees this motion corresponds to, we can use the fact that there are 360 degrees in a circle. So, the point on the edge of the tire would move (1/600) * C * 360 degrees in 1 minute.
Now, to determine how many degrees a point on the edge of the tire moves in 1 second, we need to divide the 1-minute value by 60 since there are 60 seconds in a minute.
Therefore, a point on the edge of the tire moves (1/600) * C * 360 / 60 degrees in 1 second.
To find out how many degrees a point on the edge of a tire moves in 1 minute, we need to know the circumference of the tire and the number of rotations per minute.
The circumference of a tire can be calculated using the formula:
C = πd
where C is the circumference and d is the diameter.
To find the diameter, we need to know the radius. Tire sizes are usually measured by the radius, so let's assume that the radius of the tire is r.
Therefore, the diameter of the tire (d) is equal to 2r.
Now that we have the diameter, we can calculate the circumference of the tire using the formula:
C = π(2r) = 2πr
Next, we multiply the circumference by the number of rotations per minute (600) to find out the total distance covered by a point on the edge of the tire in 1 minute.
Total distance covered in 1 minute = Circumference × Number of rotations per minute
Now, to calculate the distance covered in 1 second, we divide the result by 60 since there are 60 seconds in a minute.
After finding the total distance covered in 1 second, we need to convert it into degrees.
Since there are 360 degrees in a complete circle, we can use the following formula to calculate the distance covered in degrees:
Total distance covered in degrees = Total distance covered × 360
Now, let's calculate the answer:
1. Calculate the circumference:
C = 2πr
2. Calculate the total distance covered in 1 minute:
Total distance covered in 1 minute = C × Number of rotations per minute
3. Calculate the total distance covered in 1 second:
Total distance covered in 1 second = Total distance covered in 1 minute / 60
4. Convert the total distance covered in degrees:
Total distance covered in degrees = Total distance covered × 360
By following these steps, you will be able to find the number of degrees a point on the edge of the tire moves in 1 minute and in 1 second.