A trolley with two wheels one metre apart is moved clockwise on the circular track around a ground with radius 50 m (described by right wheel). If the size of each wheel is of 1 foot radius and the right wheel turns 1000 times, how many times will the other wheel turn?
- A. 1010
- B. 1015
- C. 1020 ✓
- D. 1025
Correct Answer: C. 1020
Explanation
The right (inner) wheel travels a track of radius 50 m. Since the wheels are 1 m apart, the left (outer) wheel travels a track of radius 51 m. Number of turns is proportional to the track radius, so the outer wheel turns 1000 \times \frac{51}{50} = 1020 times.
Related questions on Mensuration
- A pendulum swings through an angle of 30° and its end describes an arc of length 55 cm. What is the length of the pendulum? (Take $\pi = 22/...
- A conical tent has an angle of 60° at the vertex. If the curved surface area is 100 m^2, then what is the volume of the tent?
- A right circular cone and a hemisphere have equal base and equal volume. What is the ratio of the height of the cone to the radius of the he...
- A wire is in the form of an equilateral triangle with an area of 36\sqrt{3} cm^2. If it is changed into a semicircle, then what is its r...
- Let the area of the largest possible square inscribed in a circle of unit radius be x. Let the area of the largest possible circle inscribed...