Question

If the second hand of a clock has a length of 10 cm, find the distance the tip of the second hand travels in 45 seconds. Give an answer rounded to the nearest 100th.

Answer 1

The distance traveled by the second hand of the clock is 0.471 m.

To calculate the distance the tip of the second hand of the clock travel in 45 seconds, we use the formula below.

Formula:

• L = 2πr∅/360.................. Equation 1

Where:

• L = distance traveled by the tip of the second hand.
• r = Length of the second hand
• ∅ = angle formed by the second hand of the clock
• π = pie

From the question,

Given:

• r = 10 cm = 0.1 m
• ∅ = (360×45/60) =  270°
• π = 3.14

Substitute these values into equation 1

• L = 0.1×2×270×3.14/360
• L = 0.471 cm.

Hence, The distance traveled by the second hand of the clock is 0.471 m

Learn more about distance traveled here: brainly.com/question/4931057