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

Byju's Answer Standard XII Mathematics

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.,

12 π radian

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

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

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Sign of Trigonometric Ratios in Different Quadrants

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?

Click here👆to get an answer to your question ✍️ 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 1:If x+y+z=xyz, then at most one of the numbers can be negative.

Reason

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

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(sinθ)=θ for principle value.

sin

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(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

Medium View solution > ∘

. 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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स्रोत : www.toppr.com

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)

Last updated at May 29, 2018 by Teachoo

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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 →

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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