A bucket is raised from a well by means of a rope which is wound 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.

The wheel will make 40 revolutions.

Step-by-step explanation:

We are given;

Diameter = 77 cm = 0.77m

Radius = 0.77/2

Radius = 0.385 m

Speed = 1.1 m/s

time = 1min 28 sec = 88 sec

Now, we know that;

Distance = speed×time

Thus;

Distance = 1.1 × 88

Distance = 96.8 m

Also,

Number of revolution = distance/circumference

Number of revolutions = 96.8/(2 × π × 0.385)

Number of revolutions ≈ 40

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation: