Question

a bucket is raised from a well by means of a rope which would round a wheel of diameter 77cm . given that the bucket ascends in 1 minute 28 seconds with a uniform speed of 1.1m/sec, calculate the number of complete revolution the wheel makes in raising the bucket

Answer 1

Answer:

40

Step-by-step explanation:

Given a bucket is raised from a well by means of a rope which would round a wheel of diameter 77cm . given that the bucket ascends in 1 minute 28 seconds with a uniform speed of 1.1m/sec,

We can find the radius of the wheel.

So radius = diameter / 2

      radius = 77/2 = 38.5 cm

100 cm = 1 m

38.5 cm = 38.5/100 = 0.385 m

Now convert 1 min to sec = 1 min 28 sec = 60 + 28 = 88 sec

We know that distance = speed x time

                                   = 1.1 x 88

                     distance = 96.8 m

Number of revolutions = distance / circumference

We know that circumference = 2 x π x r

                                              = 2 x 22/7 x 0.385

                So circumference = 2.42

             Number of revolutions = 96.8 / 2.42

                                          = 40

So  the number of complete revolution the wheel makes in raising the bucket is 40

Answer 2

Step-by-step explanation:

Given :

Diameter = 77 cm

Radius = 77/2 = 38.5 cm

Convert it into m = 38.5/100 = 0.385 m

Speed = 1.1 m/s

Time = 1 min 28 Sec = 60 + 28 = 88 sec

Find :

The number of complete revolution.

Solution :

Distance = Speed × Time

➡ 1.1 × 88

➡ 96.8 m

Number of revolution = distance / circumference

$= > \frac{96.8 \times 7 }{2 \times 22 \times 0.385}$

$= > \frac{968 \times7 \times 100}{2 \times 22 \times 0385 \times 10}$

$= > 8 \times 5$

$= > 40.$

Hence :

The number of complete revolution is 40.