A string breaks if its tension exceeds 10 newtons. A stone of mass 250gm tied to this string of length 10cm is rotated in a horizontal circle. The maximum angular velocity of rotation can be:
Correct answer: A. 20rad/s
- A. 20rad/s
- B. 40rad/s
- C. 100rad/s
- D. 200rad/s
Explanation
The maximum angular velocity of rotation for the stone tied to the string is 20 rad/s. This value is obtained by equating the maximum tension allowed by the string to the centripetal force acting on the stone. Options B, C, and D are incorrect as they provide angular velocity values that do not align with the calculated result.To find the maximum angular velocity (ωmax), we set the centripetal force equal to the maximum tension the string can withstand (Tmax):Fc = mω2 rTmax = mωmax2 rRearrange the equation to solve for ωmax:mωmax2 = Tmax / (mr)ωmax = √(Tmax / (mr)Substitute the known values into the equation:ωmax = √(10 / (0.25 × 0.1))ωmax = √(10 / 0.025)ωmax= √400ωmax= 20 rad/s
Report an error
The more specific you are, the faster it gets fixed. A source beats an opinion.
Prefer email? [email protected]
About Angular and Linear Quantities
Rotational motion relates angular displacement, angular velocity and angular acceleration to linear displacement, tangential velocity and tangential acceleration through the radius. Questions use radians, v equals r omega and tangential acceleration, while distinguishing tangential velocity from centripetal acceleration and angular quantities from their linear counterparts.
Practise Rotational and Circular Motion
521 free Rotational and Circular Motion MCQs from Physics, each with the correct answer and an explanation. Unlimited attempts, no account needed.
Discussion
Stuck on an option, or know a faster way to get there? Ask or explain it here.
No comments yet. Be the first to explain this one.
Exams that ask Physics questions like this
Physics is on 16 papers prepared for on TestUstad, and all of them draw the same bank, so this question is worth knowing for every one of them.
More Angular and Linear Quantities questions
A body moves in a circle of radius 4 m with constant speed 8m/s experiences centripetal force 128N. What is the mass of body?
An object is moving in a circle of radius 100m with a constant speed of 31.4m/s. What is its average speed for one complete revolution?
A wheel of radius 50 cm having an angular speed of 5rads-1 has linear speed:
An electric fan has blades of length 30cm as measured from the axis of rotation. If the fan is rotating at 1200 r.p.m. The acceleration of a point on the tip of the blade is about:
The expression for centripetal force is given by:
The curved flight of fighter planes at high speed requires a large: