Answer :
The circular motion of the fly on a radius of 14 feet, which is the minute hand of Elizabeth Tower are as follows;
(a) The distance the fly would have traveled by traveling one hour around the clock is approximately 88 feet
(b) In 24 hours, the fly will have travelled 2111.15 feet in 24 hours
How can distance be calculated from circular motion?
The distance traveled on a circular path is the product of the radius and the angle of turned due to motion along the circular path.
The length of the minute hand of Elizabeth Tower, popularly known as the Big Ben = 14 feet
The distance the fly travels in 1 hour on the minute hand = A complete cycle round the 12 hours of the clock
The path of the motion of the fly = Circular path
The distance the fly travels = The perimeter of a circle = The circumference of the circle = 2×π×r
Where;
r = The radius of the circle = The length of the minute hand = 14 feet
The distance the fly travels = 2 × π × 14 feet = 87.964594305 feet ≈ 88 feet
- The fly will travel approximately 88 feet in one hour
(b) The distance, d, the fly will travel in 24 hours can be found by the product of 24 and the distance traveled in 1 hour as follows;
d = 24 × 2·π·r
Therefore;
d = 24 × 2 ×π × 14 feet ≈ 2111.15 feet
- The distance the fly will travel in 24 hours is approximately 2,111.15 feet
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