A tapered shaft has a diameter of x 9 centimeters at the sm

A tapered shaft has a diameter of x = 9 centimeters at the small end and is 15 centimeters long (see figure). The taper is 3 degree. Find the diameter d of the large end of the shaft. a. 10.57 cm b. 14.57 cm c. 12.57 cm d. 18.57 cm e. 16.57 cm

Solution

Solution:

Using the trigonometric properties of triangle:

tan = half of increase in diameter / height

=> increase in diameter = 2*15(tan3^o) => 1.57 cm

Hence;

the large end of the shaft will have the diameter: 9+1.57=> 10.57 cm