Question

A whistle is made of a square tube with a notch cut in its edge, into which a baffle is brazed. Determine the dimensions d and θ for the baffle. Take b = 6.5 cm.

Answer 1

d = 7.51 cm

θ = 60°

Step-by-step explanation:

The baffle used in the notch of a whistle is a triangular baffle (Isosceles triangle OAB).

For the isosceles triangle, the sides with equal dimension are OA and OB which is represented with d

d = the vertical component of the side of a triangle

It is given by

6.5cm = d sin60

d = 6.5/sin60

d = 7.505553499465134

d = 7.51 cm -------- Approximated

To calculate angle θ

Angle on a straight line is = 180

So, 60 + 60 + θ = 180

θ= 180 - 120

θ = 60°

(See attachments below)