Acceleration on Earth The Earth rotates once around Itself every day, so in 24 h
ID: 251459 • Letter: A
Question
Acceleration on Earth The Earth rotates once around Itself every day, so in 24 hours. However, the circle You complete depends on where on the Earth you are. If you are at one of the poles, you don't move, just rotate. The largest circle is at the equator. What is your speed due to the Earth's rotation, if you are at the equator? What is your acceleration due to the Earth's rotation, if you are at the equator? You are actually in Milwaukee. This is at a latitude of 43.04 degree s North. What is your speed due to the Earth's rotation, if you are in Milwaukee? What is your acceleration due to the Earth's rotation, if you are in Milwaukee?Explanation / Answer
The circumference of Earth at the equator is about 24,902 miles (40,075 km).
(a) Our speed due to the Earth's rotation, if we are at the equator which given as :
using an equation, we have
v = (40075 km) / (24 hr)
v = 1669.8 km/hr
km/hr convert into m/s -
v = 463.8 m/s
And
Our acceleration due to the Earth's rotation, if we are at the equator which given as :
using an equation, we have
a = v / t
where, t = time taken by earth = 24 hr
a = (463.8 m/s) / (86400 s)
a = 0.00536 m/s2
a = 5.36 x 10-3 m/s2