A normal table saw has a diameter of 25 cm and spins at an average rate of 3600 revolutions per minute. What is the time taken for the blade to make one rotation?

Question

18-12-2023
Physics

High School

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A normal table saw has a diameter of 25 cm and spins at an average rate of 3600 revolutions per minute. What is the time taken for the blade to make one rotation?

Answer :

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LorraineNoble LorraineNoble · Answer 1 · 2024-03-11T16:45:16-04:00

The blade of a table saw with a diameter of 25 cm takes approximately 1 second to make one rotation.

To find the time for the blade to make one rotation, we need to calculate the time it takes for the blade to complete 360 degrees. First, we need to find the circumference of the blade. The formula for circumference is C = πd, where C is the circumference and d is the diameter.

Given that the diameter of the blade is 25 cm, we can calculate the circumference as C = π * 25 = 78.54 cm.

Since the blade makes one rotation in 360 degrees, we can conclude that it also covers the circumference in the same angle.

Now, we need to find the time it takes for the blade to travel the circumference.

To do this, we divide the number of minutes in an hour (60) by the number of revolution per minute (3600).

The formula is:

time = 60 / (3600 / 1) = 0.0167 minutes.

Therefore, the blade takes approximately 0.0167 minutes, or 1 second, to make one rotation.

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