the sesconds hand of a wall clock is 10 inches long. how far does the tip of the hand move in 30 minutes
30 * 2 * 10 * π = ? ... inches
To find out how far the tip of the hand moves in 30 minutes, we need to know the circumference of the circle that the tip of the hand traces out.
The circumference of a circle can be calculated using the formula:
C = 2πr
where C is the circumference and r is the radius of the circle.
In this case, the seconds hand of the wall clock is equivalent to the radius (r) of the circle. Given that the length of the seconds hand is 10 inches, the radius (r) is also 10 inches.
So, the circumference of the circle traced by the tip of the seconds hand is:
C = 2πr
C = 2π * 10 inches
C ≈ 62.83 inches
Since the hand moves along the circumference of the circle in 60 minutes (one full rotation), we can calculate the distance moved in 30 minutes by taking half of the circumference.
Distance moved in 30 minutes = 0.5 * Circumference
Distance moved in 30 minutes = 0.5 * 62.83 inches
Distance moved in 30 minutes ≈ 31.42 inches
Therefore, the tip of the seconds hand moves approximately 31.42 inches in 30 minutes.