Answer :
Final answer:
A point on the edge of the tire moves through 1080 degrees in 1/5 of a second when the tire rotates 900 times per minute.
Explanation:
To calculate how many degrees a point on the edge of a tire moves in 1/5 second, considering the tire rotates 900 times per minute, we need to perform the following steps:
Convert the number of rotations per minute to rotations per second.
- Calculate the number of rotations in 1/5 of a second.
- Convert the number of rotations to degrees.
First, we know that there are 60 seconds in a minute, so 900 rotations per minute equals 900/60 rotations per second, which simplifies to 15 rotations per second. Next, to find out how many rotations occur in 1/5 of a second, we multiply 15 rotations per second by 1/5 second, resulting in 3 rotations. Finally, since each rotation is 360 degrees, we multiply 3 rotations by 360 degrees per rotation, giving us 1080 degrees. Therefore, a point on the edge of the tire moves 1080 degrees in 1/5 of a second.
The number of degrees in which a point on the edge of the tire move in 1/5 sec is 1080 degrees
Data obtained from the question
From the question given above, the following data were obtained:
- Number of rotation per min = 900 rotations
- Number of degrees per 1/5 secs =?
How to determine the number of degrees per 1/5 sec
We'll begin by calculating the number of degrees in 900 rotations. This is illustrated below:
1 rotation = 360 degress
Therefore,
900 rotations = 900 × 360
900 rotations = 324000 degrees
Now, we shall determine the number of degrees per 1/5 sec. This is illustrated below:
60 sec = 324000 degrees
Therefore,
1 / 5 (i.e 0.2 sec) = (0.2 × 324000) / 60
1 / 5 (i.e 0.2 sec) = 1080 degrees
Thus, for every 1/5 sec, we have 1080 degrees
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