हिंदी

A Wheel Makes 360 Revolutions per Minute. Through How Many Radians Does It Turn in 1 Second? - Mathematics

Advertisements
Advertisements

प्रश्न

A wheel makes 360 revolutions per minute. Through how many radians does it turn in 1 second?

 
Advertisements

उत्तर

Number of revolutions taken by the wheel in 1 minute = 360
\[\text{ Number of revolutions taken by the wheel in 1 second }= \frac{360}{60} = 6\]
We know:
\[\text{ 1 revolution }= 2\pi \text{ radians }\]
\[ \therefore \text{ Number of radians the wheel will turn in 1 second }= 6 \times 2\pi = 12\pi \]

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 4: Measurement of Angles - Exercise 4.1 [पृष्ठ १५]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 11
अध्याय 4 Measurement of Angles
Exercise 4.1 | Q 13 | पृष्ठ १५

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

Find the radian measure corresponding to the following degree measure:

25°


Find the radian measure corresponding to the following degree measure:

240°


Find the radian measure corresponding to the following degree measure:

520°


Find the degree measure corresponding to the following radian measure (use `pi= 22/7`).

`(7pi)/6`


If in two circles, arcs of the same length subtend angles 60° and 75° at the centre, find the ratio of their radii.


Find the angle in radian through which a pendulum swings if its length is 75 cm and the tip describes an arc of length

10 cm


Find the angle in radian through which a pendulum swings if its length is 75 cm and the tip describes an arc of length

21 cm


Find the degree measure corresponding to the following radian measure:
\[\frac{9\pi}{5}\]


Find the degree measure corresponding to the following radian measure: 
 11c


Find the degree measure corresponding to the following radian measure: 
 1c


Find the radian measure corresponding to the following degree measure: 35°


Find the radian measure corresponding to the following degree measure: −56°


Find the radian measure corresponding to the following degree measure: 135°


Find the radian measure corresponding to the following degree measure: −300°


Find the radian measure corresponding to the following degree measure: 7° 30'


The difference between the two acute angles of a right-angled triangle is \[\frac{2\pi}{5}\] radians. Express the angles in degrees.

 

 


One angle of a triangle \[\frac{2}{3}\] x grades and another is \[\frac{3}{2}\] x degrees while the third is \[\frac{\pi x}{75}\] radians. Express all the angles in degrees.


Find the magnitude, in radians and degrees, of the interior angle of a regular pentagon.


Find the magnitude, in radians and degrees, of the interior angle of a regular heptagon.


The angle in one regular polygon is to that in another as 3 : 2 and the number of sides in first is twice that in the second. Determine the number of sides of two polygons.

 

The angles of a triangle are in A.P. such that the greatest is 5 times the least. Find the angles in radians.


A rail road curve is to be laid out on a circle. What radius should be used if the track is to change direction by 25° in a distance of 40 metres?

 

Find the length which at a distance of 5280 m will subtend an angle of 1' at the eye.

 

A railway train is travelling on a circular curve of 1500 metres radius at the rate of 66 km/hr. Through what angle has it turned in 10 seconds?

 

Find the distance from the eye at which a coin of 2 cm diameter should be held so as to conceal the full moon whose angular diameter is 31'.


Find the diameter of the sun in km supposing that it subtends an angle of 32' at the eye of an observer. Given that the distance of the sun is 91 × 106 km.

 

If D, G and R denote respectively the number of degrees, grades and radians in an angle, the 


If the angles of a triangle are in A.P., then the measures of one of the angles in radians is


A circular wire of radius 7 cm is cut and bent again into an arc of a circle of radius 12 cm. The angle subtended by the arc at the centre is


If θ lies in the second quadrant, then show that `sqrt((1 - sin theta)/(1 + sin theta)) + sqrt((1 + sin theta)/(1 - sin theta))` = −2sec θ


If tan θ = `(-4)/3`, then sin θ is ______.


The value of tan1° tan2° tan3° ... tan89° is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×