City A is due north of City B. Find the distance between
City A ( 37°2'
and City B (19°38'
north latitude). As sume that the radius of Earth is 3960 miles.
The distance between City A and City B is
(Round to the nearest mile as needed.)
A planet rotates on an axis through its poles and 1
revolution takes 1 day (1 day is 26
hours). The distance from the axis to a location on the planet 30°
north latitude is about
2253.5 miles. Therefore, a location on the planet at 30°
north latitude is spinning on a
circle of radius 2253.5 miles. Compute the linear speed on the surface of
the planet at
The linear speed on the surface of the planet is
miles/hr. (Round the final answer to the nearest integer as needed. Round all
to five decimal places as needed.)
To approximate the speed of the current
of a river, a circular p addle wheel with
radius 6 ft. is lowered into the water . If
the current causes the wheel to rotate at a
speed of 20 revolutions per minute, what
is the speed of the current?
The speed of the current is
(Round to two decimal places.)
At a museum you can see the four cable lines that are
used to pull cable cars up and
down a hill. Each cable travels at a speed of 9.45 miles per hour, caused by
wheel whose diameter is 7.5 feet. How fast is the wheel rotating? Express
in revolutions per minute.
The angular speed of the wheel is
(Round to two decimal places as needed.)
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