a wheel with diameter 40 cm makes 50 revolutions per minute. how long it take to cover a distance of 6.28 km?

circumference = diameter * 3.14 = 125.6 cm

in one minute = 125.6 * 50 = 6280 cm or 0.0628
to cover 6.28 km = 6.28/0.0628 = 100m or 1 hour 40 minutes

circumference = 40π cm

so in one minute would cover 50(40π) or 2000π cm

to cover 6.28 km or 628000 cm would take
628000/(2000π) minutes , or
99.949.... minutes, which is appr 1hr and 40 minutes

Find the area of a right triangle with hypotenuse 13 cm base 5 cm

A wheel with diameter 40 cm makes 50 revolutions per minute. How long will it take to cover a distance of 6.28 km ?(Use r =3.14)

To find out how long it takes for the wheel to cover a distance of 6.28 km, we need to consider the number of revolutions and the distance covered in each revolution.

Let's start by calculating the circumference of the wheel. The circumference of a wheel can be found using the formula:

Circumference = π × diameter

Given that the diameter of the wheel is 40 cm, the circumference can be calculated as:

Circumference = π × 40 cm

Next, let's convert the distance to a unit that matches the circumference of the wheel. Since the circumference is in centimeters, let's convert the distance from kilometers to centimeters. We know that:
1 kilometer = 100,000 centimeters

Therefore, the distance of 6.28 km in centimeters is:
6.28 km × 100,000 cm/km = 628,000 cm

Now, we can divide the total distance by the circumference of the wheel to find the number of revolutions needed to cover that distance. Thus:
Number of revolutions = Total Distance / Circumference

Number of revolutions = 628,000 cm / (π × 40 cm)

Now we need to calculate the time taken. We are given that the wheel makes 50 revolutions per minute. Therefore, we can set up the following proportion:

Number of revolutions / Time taken = 50 revolutions/minute

Rearranging the equation, we get:
Time taken = Number of revolutions / (50 revolutions/minute)

Substituting the calculated value:
Time taken = (628,000 cm / (π × 40 cm)) / (50 revolutions/minute)

Now, we can simplify the equation by canceling out the common units, such as "cm" and "revolutions":
Time taken = (628,000) / (π × 40 × 50) minute

Finally, we can calculate the time taken:
Time taken = 628,000 / (3.14 × 40 × 50) minute

By evaluating the expression, we get the answer in minutes.