A wheel turns (42) radians in (7) seconds. Through how many degrees will it turn in (3) seconds?
Answer and explanation
Correct answer: ( \frac{1080^\circ}{\pi} )
The rate is (6) radians per second, so in (3) seconds it turns (18) radians, which is (18\cdot\frac{180^\circ}{\pi}=\frac{3240^\circ}{\pi}).
Frequently asked questions
What is the correct answer to this question?
( \frac{1080^\circ}{\pi} )
Why is this the correct answer?
The rate is (6) radians per second, so in (3) seconds it turns (18) radians, which is (18\cdot\frac{180^\circ}{\pi}=\frac{3240^\circ}{\pi}).
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Angles.