Advertisements
Advertisements
Question
How many times a wheel of radius 28 cm must rotate to go 352 m? (Take `pi = 22/7`)
Advertisements
Solution
Radius of wheel (r) = 28 cm
Circumference of wheel = 2πr
= `2 xx 22/7 xx 28` cm
= 176 cm
Distance covered by wheel in 1 revolution = 176 cm
Total distance covered by wheel = 352 m
= 35,200 cm
Total number of rounds = `"Total distance to be covered"/"circumference of wheel"`
= `(352 xx 100)/176`
= `(35200)/176`
= 200
Therefore, it will rotate 200 times.
APPEARS IN
RELATED QUESTIONS
The length of minute hand of a clock is 14 cm. Find the area swept by the minute hand in one minute. (Use π = 22/7)
The radii of two circles are 19 cm and 9 cm respectively. Find the radius of the circle which has circumference equal to the sum of the circumferences of the two circles.
Find the circumference of a circle whose area is 301.84 cm2.
Four equal circles each of radius a, touch each other. Show that area between them is `6/7a^2`
Find the area of trapezium whose parallel sides are 11 m and 25 m long, and the nonparallel sides are 15 m and 13 m long.
The length of a chain used as the boundary of a semicircular park is 108 m. Find the area of the park.
The radius of the wheel of a vehicle is 42 cm. How many revolutions will it complete in a 19.8-km-long journey?
PQRS is a diameter of a circle of radius 6 cm. The lengths PQ, QR and RS are equal. Semicircles are drawn with PQ and QS as diameters, as shown in the given figure. If PS = 12 cm, find the perimeter and area of the shaded region.
If the sum of the circumferences of two circles with radii R1 and R2 is equal to the circumference of a circle of radius R, then ______.
An express train is running between two stations with a uniform speed. If the diameter of each wheel of the train is 42 cm and each wheel makes 1200 revolutions per minute, find the speed of the train.
