What fraction of a clockwise revolution does hour hand of a clock turn...
Understanding the problem:
To answer this question, we need to understand how the hour hand of a clock moves and how many degrees it covers in a complete revolution.
How does the hour hand of a clock move?
The hour hand of a clock moves in a clockwise direction. It starts at 12 o'clock and completes a full revolution in 12 hours. So, in one hour, the hour hand moves 1/12th of a complete revolution.
How many degrees does the hour hand cover in a complete revolution?
A complete revolution of a clock is 360 degrees. Since the hour hand completes a revolution in 12 hours, it covers 360 degrees in 12 hours. Therefore, in one hour, the hour hand covers 360 degrees divided by 12, which is 30 degrees.
Finding the fraction of a clockwise revolution:
To find the fraction of a clockwise revolution the hour hand turns from 4 to 10, we need to determine how many hours it takes to go from 4 to 10 and then calculate the corresponding fraction.
Calculating the number of hours:
To go from 4 to 10, we count the number of hours between these two numbers. Since the hour hand moves in a clockwise direction, we count the numbers in a clockwise direction as well. So, the numbers between 4 and 10 are 5, 6, 7, 8, and 9. Therefore, it takes 5 hours for the hour hand to go from 4 to 10.
Calculating the fraction of a clockwise revolution:
We know that the hour hand covers 30 degrees in one hour. So, to find the fraction of a clockwise revolution, we multiply the number of hours it takes (5 hours) by the number of degrees covered in one hour (30 degrees).
5 hours × 30 degrees/hour = 150 degrees
Therefore, the hour hand of the clock turns 150 degrees when it goes from 4 to 10.
Conclusion:
The fraction of a clockwise revolution the hour hand turns when it goes from 4 to 10 is 150 degrees.
What fraction of a clockwise revolution does hour hand of a clock turn...
1 divided by 2 (½)
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