TG EAMCET 4 May 2025 Shift 1 Paper

To find the fastest speed at which the car can go without slipping, use this formula:
vmax=√Rg‌

tan‌θ+µs

1−µs‌tan‌θ

Here:
R=75m (radius of the path)
g=9.8m∕s2 (acceleration due to gravity)
tan‌θ=0.2 (angle of banking)
µs=0.1 (friction coefficient)
Now, put all the values into the formula: vmax=√75×9.8×‌

0.2+0.1

1−0.1×0.2

First, add 0.2+0.1=0.3 in the numerator.
Multiply 0.1×0.2=0.02, so the denominator is 1−0.02=0.98.
So, vmax=√75×9.8×‌

0.3

0.98

This gives vmax=√225=15m∕s
The maximum speed the car can go without slipping is about 15m∕s.