Fig. 1.16
A circular race course track has a radius of
500 m and is banked to 10°. If the coefficient of
friction between tyres of vehicle and the road
surface is 0.25. Compute :
(a) the maximum speed to avoid slipping.
(b) the optimum speed to avoid wear and tear
of tyres. (g = 9.8 m/s)
(Ans : 46.70 m/s, 29.39 m/s)
Answers
Answered by
25
Dear Student,
◆ Answer -
vmax = 46.14 m/s
vopt = 29.39 m/s
● Explanation -
# Given -
r = 500 m
g = 9.8 m/s^2
μ = 0.25
θ = 10°
# Solution -
(i) Maximum speed to avoid slipping -
vmax = √[r.g (μ+tanθ) / (1-μ.tanθ)]
vmax = √[500 × 9.8 (0.25 + tan10) / (1 - 0.25 × tan10)]
vmax = √2129
vmax = 46.14 m/s
(ii) Optimum speed to aboid wear & tear -
vopt = √(r.g.tanθ)
vopt = √(500 × 9.8 × tan10°)
vopt = √864
vopt = 29.4 m/s
Thanks for asking..
Answered by
6
Answer:
✔️✔️Hope it helps to u ✔️✔️
Attachments:
Similar questions
Economy,
5 months ago
Science,
5 months ago
English,
11 months ago
Chemistry,
11 months ago
Social Sciences,
1 year ago