Question

A maglev train is gradually taking a ${45}^o$ turn while moving with constant-speed of $\pi m{s}^{-1}$. For a special compartment of train, turning process takes $220m$ length on the track. Magnitude of centripetal acceleration of the train is:

• A. Is constant and $\frac{\pi }{88}m{s}^{-2}$ (approximately)
• B. Is variable
• C. Zero, as speed is constant
• D. Either (2) or (3)

Answer 1

The correct option is A Is constant and $\frac{\pi }{88}m{s}^{-2}$ (approximately)

Length of the arc covered is: $l=\frac{2\pi r}{8}$

$220=\frac{\pi r}{4}$

$r=880/\pi$

Centripetal acceleration is:

$a_c=\frac{v^2}{r}$

$a_c=\frac{{\pi }^2}{880/\pi }$

$a_c\approx \pi /88m/s^2$ as ${\pi }^2\approx 10$