System of Particles and Rotational Motion - Result Question 45

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48. A constant torque of $1000 N-m$ turns a wheel of moment of inertia $200 kg-m^{2}$ about an axis through its centre. Its angular velocity after 3 seconds is

======= ####48. A constant torque of $1000 N-m$ turns a wheel of moment of inertia $200 kg-m^{2}$ about an axis through its centre. Its angular velocity after 3 seconds is

3e0f7ab6f6a50373c3f2dbda6ca2533482a77bed:content/english/neet-pyq-chapterwise/physics/system-of-particles-and-rotational-motion/system-of-particles-and-rotational-motion—result-question-45.md (a) $1 rad / s$

(b) $5 rad / s$

(c) $10 rad / s$

(d) $15 rad / s$

[2001]

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Answer:

Correct Answer: 48. (d)

Solution:

  1. (d) $\tau=1000 N-m, I=200 kg-m^{2}$

$\tau=I . \alpha$ and $\alpha=(\frac{\omega_f-\omega_0}{t})$

$\Rightarrow \alpha=\frac{1000}{200}=5 rad / sec^{2}$

$\omega_1=\omega_0+\alpha t=0+3 \times 5=15 rad / s$