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

answer: the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.

step-by-step explanation:

the given rate of interest i= 85%

in calculating the monthly payment for a loan with an interest rate compounded monthly, the value of the interest rate per period we use in the formula must be in decimal form.

to convert it in decimal, we divide it by 100, we get

hence, the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.