Question

The clock face on London’s Big Ben measures 23 feet across. How far does the tip of the minute hand travel between 6:50 and 7:30?

Answer 1

Answer:

The distance traveled is: 96.29ft

Explanation:

Given

$r = 23ft$ --- The minute hand represents the radius

Required

Distance traveled between 6:50 and 7:30

First, calculate the circumference (C) of the clock

$C = 2\pi r$

$C = 2*3.14*23$

$C = 144.44ft$

Calculate the time difference between 6:50 and 7:30

$t = 7:30 - 6:50$

$t = 40\ minutes$

Next, calculate the rate per 60 minutes:

$Rate = \frac{C}{60\ minutes}$

So, the distance traveled is:

$d = Rate * t$

$d = \frac{C}{60\ minutes} * t$

$d = \frac{144.44ft}{60\ minutes} * 40\ minutes$

$d = \frac{144.44* 40ft}{60}$

$d = \frac{5777.6ft}{60}$

$d = 96.29ft$