Final answer:
To calculate the speed of the tip of the second hand of a watch, which is 1.35 cm long, you multiply its length by 2π to find the circumference it travels in one rotation, which takes one minute. This results in a speed of approximately 8.4823 cm/min.
Step-by-step explanation:
The question is asking to calculate the speed of the tip of the second hand of a watch, which is 1.35 cm in length. To find this, we first need to understand that the second hand of a typical watch completes one rotation every minute. Therefore, the tip of the second hand travels the circumference of the circle formed by its motion in one minute. The circumference (C) is given by the formula C = 2πr, where r is the radius of the circle, which in this case is the length of the second hand (1.35 cm).
Using the formula for circumference, we have C = 2π(1.35). Therefore, C = 2π × 1.35 ≈ 8.4823 cm. Since the second hand covers this distance in one minute, the speed (v) of the tip of the second hand is approximately 8.4823 cm per minute. Hence, the tip of the second hand moves with a speed of 8.4823 cm/min.