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## Homework Statement

What made them pick one rad equal to 57 deg.

Why didn't the pick 45 deg. or 90 deg. or any other random degree to equal one rad.?

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- Thread starter Miike012
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What made them pick one rad equal to 57 deg.

Why didn't the pick 45 deg. or 90 deg. or any other random degree to equal one rad.?

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Gib Z

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tiny-tim

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It isn't

It's to avoid having an

with angle θ measured in radians, we have the simple equations:

arc-length = rθ (in particular, circumference = r(2π))

speed = r dθ/dt

acceleration = r d^{2}θ/dt^{2}

speed = r dθ/dt

acceleration = r d

Also, with ω measured in radians per second:

d/dt (sinωt) = ωcosωt.

This is similar to the reason mathematicians prefer natural logarithms (base e) to logarithms base 10.

(Similarly, we define the

surface area = r^{2} times solid angle)

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