A wheel of radius 1 m covers an angular displacement of 180o. Its linear dispacement is
Correct answer: A. 3.14m
- A. 3.14m
- B. 6.28m
- C. πrad
- D. 9.157m
Explanation
When a wheel of radius 1 meter covers an angular displacement of 180 degrees, the linear displacement can be calculated using s = θ * r. First, convert 180 degrees to radians: θ = 180 degrees * (π radians / 180 degrees) = π radians. Then, calculate the linear displacement: s = π radians * 1 meter = π meters. Therefore, the correct answer is 3.14m. Option B is incorrect as it doubles the correct answer. Option C is incorrect as it only provides the result in radians. Option D is incorrect as it miscalculates the linear displacement.S = rθ = 1 x π = πm = 3.14mθ = 180° θ = 180° x (π/180°) = π rad
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 with increasing angular velocity. At time t= 6sec, the angular velocity is 27rad/s. What is the radius of circle made by the body where linear velocity is 81cm/s?
When a body moves in a circle, the angle between its velocity v and angular velocity ω is always
A girl attaches a rock to a string, which she then swings counter-clockwise in a horizontal circle. The string breaks at point P in the figure, which shows a bird's-eye view (as seen from above). Which path (A-E) will the rock follow?
Linear velocity or tangential velocity of any particle moving in a circular path of radius 2m with angular velocity 8rad-1 will be:
The linear and angular velocities of a particle moving about the centre of a circle of radius r, are related by
If a car moves with a uniform speed of 2ms-1 in a circle of radius 0.4m. Its angular speed is