Kinematics of Circular Motion
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PHXI04:MOTION IN A PLANE

361870 A wheel starting from rest gains an angular velocity of \(10\,rad\,{s^{ - 1}}\) after uniformly accelerated for 5 sec. The total angle through which it has turned is

1 \(25\,\pi \,\,\,{\rm{rad}}\,\)
2 \(50\pi \,\,{\rm{rad}}\,\,{\rm{about}}\,\,{\rm{a}}\,\,{\rm{vertical}}\,\,{\rm{axis}}\)
3 \(25\,\,\,{\rm{rad}}\)
4 \(100\,\,\,{\rm{rad}}\,\)
KCET - 2020
PHXI04:MOTION IN A PLANE

361871 The length of second’s hand in a watch is 1 \(cm\). The change in velocity of its tip in 15 \(s\) is

1 \({\mathop{\rm Zero}\nolimits} \)
2 \(\frac{\pi }{{30\sqrt 2 }}cm/s\)
3 \(\frac{\pi }{{30}}cm/s\)
4 \(\frac{{\pi \sqrt 2 }}{{30}}cm/s\)
PHXI04:MOTION IN A PLANE

361872 A car is approaching a circular turn of radius 40 \(m\). Its speed is reduced from \(72\,km{h^{ - 1}}\) at constant rate of \(0.5\,m{s^{ - 1}}\). His vector acceleration on the circular turn is
supporting img

1 \(11.1\,m{s^{ - 2}}\)
2 \(8.4\,\,m{s^{ - 2}}\)
3 \(14.2\,\,m{s^{ - 2}}\)
4 \(4.4\,m{s^{ - 2}}\)
PHXI04:MOTION IN A PLANE

361873 Assertion :
In uniform circular motion, the angular speed of particles remains constant.
Reason :
The acceleration always points towards the centre in uniform circular motion.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
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PHXI04:MOTION IN A PLANE

361870 A wheel starting from rest gains an angular velocity of \(10\,rad\,{s^{ - 1}}\) after uniformly accelerated for 5 sec. The total angle through which it has turned is

1 \(25\,\pi \,\,\,{\rm{rad}}\,\)
2 \(50\pi \,\,{\rm{rad}}\,\,{\rm{about}}\,\,{\rm{a}}\,\,{\rm{vertical}}\,\,{\rm{axis}}\)
3 \(25\,\,\,{\rm{rad}}\)
4 \(100\,\,\,{\rm{rad}}\,\)
KCET - 2020
PHXI04:MOTION IN A PLANE

361871 The length of second’s hand in a watch is 1 \(cm\). The change in velocity of its tip in 15 \(s\) is

1 \({\mathop{\rm Zero}\nolimits} \)
2 \(\frac{\pi }{{30\sqrt 2 }}cm/s\)
3 \(\frac{\pi }{{30}}cm/s\)
4 \(\frac{{\pi \sqrt 2 }}{{30}}cm/s\)
PHXI04:MOTION IN A PLANE

361872 A car is approaching a circular turn of radius 40 \(m\). Its speed is reduced from \(72\,km{h^{ - 1}}\) at constant rate of \(0.5\,m{s^{ - 1}}\). His vector acceleration on the circular turn is
supporting img

1 \(11.1\,m{s^{ - 2}}\)
2 \(8.4\,\,m{s^{ - 2}}\)
3 \(14.2\,\,m{s^{ - 2}}\)
4 \(4.4\,m{s^{ - 2}}\)
PHXI04:MOTION IN A PLANE

361873 Assertion :
In uniform circular motion, the angular speed of particles remains constant.
Reason :
The acceleration always points towards the centre in uniform circular motion.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
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PHXI04:MOTION IN A PLANE

361870 A wheel starting from rest gains an angular velocity of \(10\,rad\,{s^{ - 1}}\) after uniformly accelerated for 5 sec. The total angle through which it has turned is

1 \(25\,\pi \,\,\,{\rm{rad}}\,\)
2 \(50\pi \,\,{\rm{rad}}\,\,{\rm{about}}\,\,{\rm{a}}\,\,{\rm{vertical}}\,\,{\rm{axis}}\)
3 \(25\,\,\,{\rm{rad}}\)
4 \(100\,\,\,{\rm{rad}}\,\)
KCET - 2020
PHXI04:MOTION IN A PLANE

361871 The length of second’s hand in a watch is 1 \(cm\). The change in velocity of its tip in 15 \(s\) is

1 \({\mathop{\rm Zero}\nolimits} \)
2 \(\frac{\pi }{{30\sqrt 2 }}cm/s\)
3 \(\frac{\pi }{{30}}cm/s\)
4 \(\frac{{\pi \sqrt 2 }}{{30}}cm/s\)
PHXI04:MOTION IN A PLANE

361872 A car is approaching a circular turn of radius 40 \(m\). Its speed is reduced from \(72\,km{h^{ - 1}}\) at constant rate of \(0.5\,m{s^{ - 1}}\). His vector acceleration on the circular turn is
supporting img

1 \(11.1\,m{s^{ - 2}}\)
2 \(8.4\,\,m{s^{ - 2}}\)
3 \(14.2\,\,m{s^{ - 2}}\)
4 \(4.4\,m{s^{ - 2}}\)
PHXI04:MOTION IN A PLANE

361873 Assertion :
In uniform circular motion, the angular speed of particles remains constant.
Reason :
The acceleration always points towards the centre in uniform circular motion.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
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PHXI04:MOTION IN A PLANE

361870 A wheel starting from rest gains an angular velocity of \(10\,rad\,{s^{ - 1}}\) after uniformly accelerated for 5 sec. The total angle through which it has turned is

1 \(25\,\pi \,\,\,{\rm{rad}}\,\)
2 \(50\pi \,\,{\rm{rad}}\,\,{\rm{about}}\,\,{\rm{a}}\,\,{\rm{vertical}}\,\,{\rm{axis}}\)
3 \(25\,\,\,{\rm{rad}}\)
4 \(100\,\,\,{\rm{rad}}\,\)
KCET - 2020
PHXI04:MOTION IN A PLANE

361871 The length of second’s hand in a watch is 1 \(cm\). The change in velocity of its tip in 15 \(s\) is

1 \({\mathop{\rm Zero}\nolimits} \)
2 \(\frac{\pi }{{30\sqrt 2 }}cm/s\)
3 \(\frac{\pi }{{30}}cm/s\)
4 \(\frac{{\pi \sqrt 2 }}{{30}}cm/s\)
PHXI04:MOTION IN A PLANE

361872 A car is approaching a circular turn of radius 40 \(m\). Its speed is reduced from \(72\,km{h^{ - 1}}\) at constant rate of \(0.5\,m{s^{ - 1}}\). His vector acceleration on the circular turn is
supporting img

1 \(11.1\,m{s^{ - 2}}\)
2 \(8.4\,\,m{s^{ - 2}}\)
3 \(14.2\,\,m{s^{ - 2}}\)
4 \(4.4\,m{s^{ - 2}}\)
PHXI04:MOTION IN A PLANE

361873 Assertion :
In uniform circular motion, the angular speed of particles remains constant.
Reason :
The acceleration always points towards the centre in uniform circular motion.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
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