The minute hand of a colck is 10cm long.How far does the minute hand move in 1 hour?
Regardless of its length, the minute hand moves 360 degrees in one hour (60 minutes).
To determine how far the minute hand moves in 1 hour, we need to know the circumference of the circle it traces out.
The circumference of a circle can be calculated using the formula:
Circumference = 2 * π * radius
In this case, the minute hand is essentially the radius of the circle it traces out. Therefore, we can calculate the circumference of this circle using the given information:
Circumference = 2 * π * 10 cm
Next, we need to convert the circumference from cm to the desired unit of measurement, which is typically meters. To convert cm to meters, we divide the value by 100:
Circumference = (2 * π * 10) / 100 m
Now, we can calculate how far the minute hand moves in 1 hour by multiplying the circumference by the number of times the hand completes a full revolution in an hour. A clock has 12 hours, and the minute hand completes one full revolution every 60 minutes.
Therefore, the distance moved by the minute hand in 1 hour is:
Distance = Circumference * (60 / 3600)
Simplifying this equation, we have:
Distance = (2 * π * 10) / 100 m * (60 / 3600)
Now, we can calculate the value:
Distance = (20 π / 100) * (60 / 3600) m
Finally, we can simplify the expression further:
Distance = (π / 50) * (1 / 6) m
Hence, the minute hand moves approximately (π / 300) meters in 1 hour.