What is the measurement in degrees and radians for a counter-clockwise rotation of \(\frac{5}{3}\) revolutions?

I am assuming 5/3 refers to 5/3rds of a full revolution. radians is easier for now so I'll do that first. on full revolution = 2π radians, but you have 1 and 2/3rds revolutions, so that is 2π+2π*(2/3)=10π/3 radian turn to convert from radians to degrees multiply the radians by 180/π, so (10π/3)*(180/π) => 600degrees Final answer: 5/3 turn is 600 degrees and 10π/3 radians Hope I helped :)

Answered by FirstSineOfMadness | 2024-06-10

A counter-clockwise rotation of 3 5 ​ revolutions is equal to 60 0 ∘ and 3 10 π ​ radians. This conversion involves multiplying the number of revolutions by 2 π to find radians, and then converting radians to degrees using π 180 ​ .
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Answered by FirstSineOfMadness | 2024-12-17