Arc Length and Circular Motion Homework

Front

What is the arc length formula?

Back

Front

How do you calculate the angle in radians using the arc length formula?

Back

Front

If the radius is 5 miles and the arc length is 3 miles, what is the angle in radians?

Back

Front

What is the formula to find the distance between two points on the Earth's surface given their latitudes?

Back

The distance can be calculated using the formula: Distance = Radius of Earth * (Difference in latitude in radians).

Front

If Charleston is at 38°21′ N and Jacksonville is at 30°20′ N, what is the difference in latitude?

Back

The difference in latitude is approximately 8.017°.

Front

How do you convert degrees to radians?

Back

To convert degrees to radians, use the formula: Radians = Degrees * (π/180).

Front

What is the radius of the Earth used in distance calculations?

Back

The radius of the Earth is approximately 3960 miles.

Front

If the minute hand of a clock is 6 inches long, what is the distance it travels in 15 minutes?

Back

Front

What is the relationship between the radius and arc length in circular motion?

Back

The arc length is directly proportional to the radius and the angle in radians.

Front

Back