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# a wheel makes 360 revolutions in one minute. through how many radians it turns in one second.

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## A wheel make 360 revolutions in one minute .Through how many radians does it turn in one second

A wheel make 360 revolutions in one minute .Through how many radians does it turn in one second Sign of Trigonometric Ratios in Different Quadrants

A wheel make ... Question

A wheel make 360 revolutions in one minute .Through how many radians does it turn in one second

Open in App Solution

Number of revolutions made by the wheel in 1 minute = 360

∴Number of revolutions made by the wheel in 1 second =360/60 = 6

In one complete revolution, the wheel turns an angle of 2π radian.

Hence, in 6 complete revolutions, it will turn an angle of 6 × 2π radian, i.e.,

Thus, in one second, the wheel turns an angle of 12π radian.

Suggest Corrections 40 SIMILAR QUESTIONS

Q.

How many degrees does a minute hand of a clock turn through in one hour?

Q. A circular wheel

28

inches in diameter rotates the same number of inches per second as a circular wheel

35

inches diameter. If the smaller wheel makes x revolutions per second, how many revolutions per minute does the larger wheel make in terms of

x .

Q. A wheel makes 12 revolutions per hour The radians it turns through in 20 minutes is:Q. A fly wheel rotates about a fixed axis and slows down from 400 rpm in one minute. How many revolutions does the wheel complete in the same timeQ. A wheel makes

360

revolutions in one minute. It turns

m π

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Standard XII Mathematics

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## A wheel makes 360 revolutions in one minute. Through how many radians does it turn in one second? SIMILAR QUESTIONS

AssertionStatement 1: cos1ReasonStatement 2: Cosine x decreases but sine x increases for x∈(0,

2 π ​ )

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Assertion

### Statement 2: In a triangle ABC, tanA+tanB+tanC=tanAtanBtanC ,there can be at most one obtuse angle in a triangle.

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Assertionsin

−1

(sin5)=5 (where 5 is in radians).

Reasonsin

−1

(sinθ)=θ for principle value.

sin

−1

(sin5)=5 (where 5 is in radians).

A bird is sitting on the top of a vertical pole 20 m high and its elevation from a point O on the ground is 45

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. It flies off horizontally straight away from the point O. After one second, the elevation of the bird from O is reduced to 30

. Then the speed (in m/s) of the bird is

If p=tan1

Hard JEE Mains View solution > 0

,q=tan1(in radians), then which of the following is true?

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## Ex 3.1, 3

Ex3.1, 3 A wheel makes 360 revolutions in one minute. Through how many radians does it turn in one second? Number of revolutions in 1 minute = 360 Number of revolutions in 60 second = 360 So,Number of revolutions in 1 second = 360/60 = 6 Angle made in 1 revolution = Check sibling questions

## Ex 3.1, 3 - Chapter 3 Class 11 Trigonometric Functions (Term 2)

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### Transcript

Ex3.1, 3 A wheel makes 360 revolutions in one minute. Through how many radians does it turn in one second? Number of revolutions in 1 minute = 360 Number of revolutions in 60 second = 360 So,Number of revolutions in 1 second = 360/60 = 6 Angle made in 1 revolution = 360 Angle made in 6 revolution = 6 360 Radians made in 6 revolution = 6 360 /180 = 6 2 =12

Next: Ex 3.1, 4 Important → 