Topic: Strength of Materials
Two shafts of the same length and material are connected in series, if the ratio of their diameters is 2, then the ratio of their angles of twist will be
- A. 4
- B. 8
- C. 16
- D. 32
Answer: C. 16
Explanation: Angle of twist theta = (T * L) / (G * J). Since J is proportional to d^4, theta is inversely proportional to d^4. Thus, theta_1 / theta_2 = (d_2 / d_1)^4 = (2d/d)^4 = 16.