To calculate the speed of the tip of the second hand of a watch, we need to determine the angular speed of the second hand and then multiply it by the length of the hand.
The second hand completes a full rotation in 60 seconds, which means it completes one revolution in 1 minute. Since there are 60 seconds in a minute, the angular speed can be calculated as:
Angular speed = (2π radians) / (60 seconds) = π/30 radians per second
Now, we can multiply the angular speed by the length of the second hand to find the speed of the tip:
Speed = (π/30 radians per second) × (1.5 cm)
Calculating this expression gives us the speed of the tip of the second hand. Let's compute it:
Speed = (π/30) × 1.5 ≈ 0.157 cm/s
Therefore, the speed of the tip of the second hand is approximately 0.157 cm/s.
