Advertisements
Advertisements
Question
A pendulum of length 14 cm oscillates through an angle of 18°. Find the length of its path.
Solution
Let S be the length of the path described by the extremity of the pendulum.
Then S = r·θ
where r = 14 cm and θ = 18°
= `(18 xx pi/180)^"c"`
= `pi^"c"/10`
∴ S = `14 xx pi/10`
= `(7pi)/5`
= `(7 xx 3.14)/5`
= `(21.98)/5`
= 4.4 cm. ...(approx.)
Hence, length of the path= 4.4 cm. ...(approx).
APPEARS IN
RELATED QUESTIONS
Convert the following angle into radian:
250°
Convert the following angles into radian:
65°30′
Convert the following angles into radian:
75°30′
Convert the following angles into radian:
40°48′
Convert the following angles in degree.
`(7pi^"c")/12`
Convert the following angles in degree:
`(-5pi^"c")/3`
Convert the following angles in degree:
5c
Convert the following angles in degree:
`((-1)/4)^"c"`
Express the following angle in degree, minute and second:
(183.7)°
Express the following angle in degree, minute and second:
(245.33)°
In ∆ABC, if m∠A = `(7pi^"c")/36`, m∠B = 120°, find m∠C in degree and radian.
In a right angled triangle, the acute angles are in the ratio 4:5. Find the angles of the triangle in degrees and radians.
The sum of two angles is 5πc and their difference is 60°. Find their measures in degrees.
The measures of the angles of a triangle are in the ratio 3:7:8. Find their measures in degrees and radians.
The measures of the angles of a triangle are in A.P. and the greatest is 5 times the smallest (least). Find the angles in degrees and radian.
In a cyclic quadrilateral two adjacent angles are 40° and `pi^"c"/3`. Find the angles of the quadrilateral in degrees.
One angle of a quadrilateral has measure `(2pi^"c")/5` and the measures of other three angles are in the ratio 2 : 3 : 4. Find their measures in degree and radian.
Find the degree and radian measure of exterior and interior angle of a regular Heptagon.
Find the degree and radian measure of exterior and interior angle of a regular Octagon.
Select the correct option from the given alternatives :
`((22pi)/15)^"c"` is equal to
Select the correct option from the given alternatives :
A pendulum of 14 cm long oscillates through an angle of 12°, then the angle of the path described by its extremities is
Select the correct option from the given alternatives :
20 metres of wire is available for fencing off a flower-bed in the form of a circular sector of radius 5 metres, then the maximum area (in sq. m.) of the flower-bed is
Select the correct option from the given alternatives :
If the angles of a triangle are in the ratio 1 : 2 : 3, then the smallest angle in radian is ______.
Select the correct option from the given alternatives :
Find the measure of the angle between hour-hand and the minute hand of a clock at twenty minutes past two.
Answer the following :
Find the radius of the circle in which central angle of 60° intercepts an arc of length 37.4 cm.
Answer the following :
A wire of length 10 cm is bent so as to form an arc of a circle of radius 4 cm. What is the angle subtended at the centre in degree ?
Show that the minute-hand of clock gains 5°30' on the hour-hand in one minute.
