What is the average speed in average velocity of a tip of minute hand in 1 hour where the length of the minute hand is 10 cm
To find the average speed and average velocity of the tip of the minute hand in 1 hour, you need to know the distance covered and the direction of motion.
First, let's calculate the distance covered by the tip of the minute hand in 1 hour. The length of the minute hand is given as 10 cm, and it completes one full revolution (360 degrees) in 60 minutes, or 1 hour.
Since the circumference of a circle is given by the formula C = 2πr, where r is the radius (or, in this case, the length of the minute hand), we can find the distance covered in one revolution as:
Distance = Circumference of the circle = 2πr
Distance = 2 * 3.14 * 10 cm
Distance = 62.8 cm
Therefore, the tip of the minute hand covers a distance of 62.8 cm in 1 hour.
Now, let's determine the direction of motion. The minute hand rotates clockwise, always moving in the same direction. Hence, the direction of motion is consistent.
Now we can find the average speed and average velocity:
Average Speed = Total Distance / Total Time
Average Speed = 62.8 cm / 1 hour = 62.8 cm/h
Average Velocity = Total Displacement / Total Time
Since the movement of the minute hand is in a circular path and covers the same distance in the same direction, the total displacement is zero.
Therefore, Average Velocity = 0 cm/h
Hence, the average speed of the tip of the minute hand is 62.8 cm/h, and the average velocity is 0 cm/h.