Advertisements
Advertisements
प्रश्न
The diameter of a wheel is 0.70 m. Find the distance covered by it in 500 revolutions. If the wheel takes 5 minutes to make 500 revolutions; find its speed in :
(i) m/s
(ii) km/hr.
Advertisements
उत्तर
Diameter = 0.70 m
Radius, r = 0.35 m
Distance covered in 1 revolution, i.e. circumference = 2πr = `2 xx 22/7 xx 0.35` = 2.20 m
Distance covered in 500 revolutions = 2.20 x 500 = 1100 m
Time taken = 5 minutes = 5 x 60 = 300 sec.
∴ Speed in m/s = `1100/300`
= `11/3 = 3 2/3` m/s
Again, Distance = 1100 m
= `1100/1000`
= `11/10` km
Time = 5 minutes
= `5/60` hr.
Speed in km/hr = `(11/10)/(5/60) = 11/10 xx 60/5`
= `66/5 = 13.2` km/hr.
Hence 1100 m, (i) `3 2/3` m/s (ii) 13.2 km/hr
APPEARS IN
संबंधित प्रश्न
A rectangular park is 100 m by 50 m. It is surrounding by semi-circular flower beds all round. Find the cost of levelling the semi-circular flower beds at 60 paise per square metre (use π = 3.14).
A child makes a poster on a chart paper drawing a square ABCD of side 14 cm. She draws four circles with centre A, B, C and D in which she suggests different ways to save energy. The circles are drawn in such a way that each circle touches externally two of the three remaining circles (in the following figure). In the shaded region she write a message 'Save Energy'. Find the perimeter and area of the shaded region.
(Use π = 22/7)
In the following figure, two circles with centres A and B touch each other at the point C. If AC = 8 cm and AB = 3 cm, find the area of the shaded region.
In the given figure, ABCD is a trapezium with AB || DC, AB = 18 cm DC = 32 cm and the distance between AB and DC is 14 cm. Circles of equal radii 7 cm with centres A, B, C and D have been drawn. Then find the area of the shaded region.
(Use \[\pi = \frac{22}{7}\]
Write the formula for the area of a segment in a circle of radius r given that the sector angle is \[\theta\] (in degrees).
If the area of a sector of a circle is `5/18` of the area of the circle, then the sector angle is equal to
In the given figure, OABC is a square of side 7 cm. If COPB is a quadrant of a circle with centre C find the area of the shaded region.
A square is inscribed in a circle of radius 7 cm. Find the area of the square.
Find the area of the circle, length of whose circumference is equal to the sum of the lengths of the circumferences with radii 15 cm and 13 cm.
The area of the circle that can be inscribed in a square of side 6 cm is ______.
