High School

A hose must fit over a cylindrical opening with a diameter of 59.1 mm. If the hose wall is 0.4 mm thick, what length of clamp strap is needed to go around the hose connection? Round to the nearest whole number.

Answer :

Final answer:

The length of the clamp strap needed to go around the hose connection, considering a 0.4 mm wall thickness, is approximately 188 mm when rounded to the nearest whole number.

Explanation:

To calculate the length of the clamp strap needed to go around the hose connection, we first need to determine the circumference of the cylindrical opening that the hose must fit over. The diameter of the opening is given as 59.1 mm. However, since the hose has a wall thickness of 0.4 mm, we must consider the added diameter from the hose walls on both sides when the hose fits over the opening. This adds an additional 0.4 mm x 2 to the diameter, for a total of 59.9 mm. The circumference can be calculated using the formula C = πd, where C is the circumference and d is the diameter.

Using the diameter of 59.9 mm:
C = π × 59.9 mm
C ≈ 188.26 mm

Since the question asks for the length of clamp strap needed, we should round the calculated circumference to the nearest whole number:
Length of clamp strap ≈ 188 mm