Question

To find Earth's equatorial rotation speed, we should divide the circumference of Earth by a 24 hours (1 day). To find the rotation speed at any other latitude, you need the following fact: The radial distance from Earth's axis at any latitude is equal to the equatorial radius times the cosine of the latitude. (Hint: When using the cosine (cos) function, be sure your calculator is set to recognize angles in degree mode, not in radian or gradient mode.) The radius of Earth is 6380 kilometers. Vi = 1370 km/hr

Find the rotation speed for a person at latitude 35°N.

Answer 1

The rotation speed of Earth at latitude 35°N is approximately 1199.15 km/hr.

Step-by-step explanation:

The rotation speed of Earth at any latitude can be found using the formula:

Rotation Speed = 2πRcos(latitude) / T

Where R is the radius of Earth, the latitude is the angle from the equator, and T is the time it takes for one rotation (24 hours in this case).

Given that the radius of Earth is 6380 kilometers and the latitude is 35°N, we can calculate the rotation speed as follows:

Rotation Speed = (2π * 6380 * cos(35)) / 24 = 1199.15 km/hr

Therefore, the rotation speed for a person at latitude 35°N is approximately 1199.15 km/hr.

Answer 2

The value is
`v = 1370 km /hr`

Step-by-step explanation:

From the question we are told that

The radius of the Earth is
`R = 6380 \ km`

The latitude is
`35^o N`

Generally the Earth's equatorial rotation speed is mathematically represented as

`v_e = (C)/(t)`

Here C is the circumference which is mathematically represented as

`C = 2 * \pi * R`

=>
`C = 2 * 3.142 * 6380`

=>
`C = 40091.92`

t is the time which is mathematically represented as

t = 24 h

So

`v_e = (40091.92)/(24)`

=>
`v_e = 1670.5 \ km/h`

Generally the rotation speed for a person at latitude 35°N. is mathematically represented as

`v = v_e cos (35)`

=>
`v = 1368`

=>
`v \approx 1370 km/hr`