Student Login

Home›Chapters›Circular Motion PYQs›Centripetal Acceleration & Force›Question 18

JEE Main 2023 (30 Jan, Shift 2) · Centripetal Acceleration & Force

Centripetal Acceleration & Force question from JEE Main 2023 (30 Jan, Shift 2)

Q18JEE Main 2023 · 30 JAN · SHIFT 2Easy

Centripetal Acceleration & Force

A stone tied to $180\text{ cm}$ long string at its end is making 28 revolutions in horizontal circle in every minute. The magnitude of acceleration of stone is $\frac{1936}{x}\text{ m s}^{-2}$ . The value of $x$ ________. (Take $\pi = \frac{22}{7}$ )

Numerical answer type. Work it out, then open the answer.

Show answer and solution

Answer: 125

$r = 1.8\text{ m}$ , $n = \frac{28}{60} = \frac{7}{15}\text{ Hz}$ .
$\omega = 2\pi n = 2 \times \frac{22}{7} \times \frac{7}{15} = \frac{44}{15}\text{ rad/s}$
$a = \omega^2 r = \frac{1936}{225} \times 1.8 = \frac{1936}{125}\text{ m/s}^2$
So $x = 125$ .

Report a mistake

More questions on Centripetal Acceleration & Force

A vehicle of mass 200 kg is moving along a levelled curved road of radius 70 m with…JEE Main 2023 (13 Apr, Shift 2)
A child of mass 5 kg is going round a merry-go-round that makes 1 rotation in 3.14 s. The…JEE Main 2023 (6 Apr, Shift 2)
An object moves at a constant speed along a circular path in a horizontal plane with…JEE Main 2023 (29 Jan, Shift 2)
A body of mass 200 gram is tied to a spring of spring constant 12.5 N/m, while other end…MHT CET 2023 (10 May, Shift 1)
A small block of mass 100 g is tied to a spring of spring constant 7.5 N/m and length 20…JEE Main 2023 (6 Apr, Shift 1)
A body of mass 200g is tied to a spring of spring constant 12.5 N/m, while the other end…JEE Main 2023 (24 Jan, Shift 2)
A stone is projected at angle θ with velocity u. If it executes nearly a circular motion…MHT CET 2023 (13 May, Shift 2)
A body moving in a circular path with a constant speed has constantMHT CET 2022 (11 Aug, Shift 2)