Purchase Solution

Convert Radians to Degrees

Not what you're looking for?

Ask Custom Question

2π radians = 360 degrees = 1 cycle = 1 revolution
T (period in time/cycle) = 1/f (frequency in cycles/time), and ω = 2πf
For circular motion: s = rθ, where s = distance in units of length, r = radius, θ = angle in radians
ω = angular velocity (or angular frequency) in radians/time or revolutions/time
v = rω, where v = linear velocity in units of length/time, r = radius
θ = ωt = angular distance in radians

1. Convert 5π/2 radians to degrees. Put your answer in the range [0, 360).
2. Convert -30 degrees to radians. Put your answer in the range [0,2π).

A merry-go-round with a radius of 15 feet is rotating with an angular velocity of 2 rev/min.
3. What is its angular velocity in radians/sec?
4. What is the period of the merry-go-round in sec/cycle?
5. How far in feet does a person on the rim travel in 1 sec?
6. How many degrees does a person turn through in 1 sec?
7. What is the frequency of the merry-go-round in cycles/sec?
8. What is the linear velocity in feet/sec of a point on the rim of the merry-go-round?

Purchase this Solution

Solution Summary

The expert converts radians to degrees.

Purchase this Solution


Free BrainMass Quizzes
Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Probability Quiz

Some questions on probability

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.