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(a) Convert 45.0° to radians.
_______ rad

(b) Convert 13.0 rad to revolutions.
________ rev

(c) Convert 76.5 rpm to rad/s.
__________ rad/s

**Remember that there are 2 in one revolution, and 60 seconds in 1 minute. rad/s

Sagot :

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(a) Converting 45.0° to radians is 0.785 radian.

(b) Converting 13.0 rad to revolutions is 2.1 rev.

(c) Converting 76.5 revolution per minute to rad/s is 8.02 rad/s.

Degrees to radian

To convert 45.0 degrees to radians, we use the following method;

180⁰ = π radians

45⁰ = ?

= (45 x π)/180

= 0.785 radian

Radian to revolutions

2π radians = 1 rev

13 radians = ?

= (13)/(2π)

= 2.1 rev

Revolution per minute to radians per second

= 76.6 rev/min x 2π rad/rev x 1 min/60 s

= 8.02 rad/s

Thus, converting 45.0° to radians is 0.785 radian.

Converting 13.0 rad to revolutions is 2.1 rev.

Converting 76.5 revolution per minute to rad/s is 8.02 rad/s.

Learn more about revolution per minute here: https://brainly.com/question/11801946

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