SATHEE: Kinematics Question 656

Kinematics Question 656

Question: A particle moves in a circle of radius 30 cm. it’s linear speed is given by: $V = 2 t$ , where t in second and v in m/s. Find out it’s radial and tangential acceleration at t = 3 sec respectively.

Options:

A) $220 m/se c^{2}, 50 m/se c^{2}$

B) $110 m/se c^{2}, 5 m/se c^{2}$

C) $120 m/se c^{2}, 2 m/se c^{2}$

D) $110 m/se c^{2}, 10 m/se c^{2}$

Show Answer

Answer:

Correct Answer: C

Solution:

[c] Given: r = 30 cm = 0.3 m and V = 2t Radial acceleration at t = 3 sec

$a_{r} = \frac{v^{2}}{r} = \frac{4 t^{2}}{0 .3} = \frac{4 \times {(3)}^{2}}{0 .3} =120 m/ s^{2}$

and trigeminal acceleration

$a_{t} = \frac{d v}{d t} = 2 m / s^{2}$

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Kinematics Question 656

Question: A particle moves in a circle of radius 30 cm. it’s linear speed is given by: V=2t , where t in second and v in m/s. Find out it’s radial and tangential acceleration at t = 3 sec respectively.

Options:

Answer:

Solution:

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Question: A particle moves in a circle of radius 30 cm. it’s linear speed is given by: $V = 2 t$ , where t in second and v in m/s. Find out it’s radial and tangential acceleration at t = 3 sec respectively.