Free Angular and Linear Quantities MCQs with Answers
317 Angular and Linear Quantities MCQs from Physics, each with the correct answer and a written explanation of why it is correct. Free and unlimited, with no account needed.
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.
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317 questions · page 8 of 16
- A. L/4
- B. L/2
- C. L
- D. 2L
Explanation: When the radius of the circle is halved while keeping the angular velocity constant, the angular momentum decreases by a factor of 4.
Correct answer: L/4- A. 16 m/s
- B. 10 m/s
- C. 4 m/s
- D. 6 m/s
Explanation: The following is the solution:The linear speed of a particle is given by v=rw,v=8x2v=16 ms-1
Correct answer: 16 m/s- A. 6 cm
- B. 9 cm
- C. 3 cm
- D. 7 cm
Explanation: The following is the solution:v = ω x r Given that the linear velocity is 81 cm/s and the angular velocity is 27 rad/s, we can substitute…
Correct answer: 3 cm- A. Path A
- B. Path B
- C. Path C
- D. Path D
Explanation: Along the tangent. When the string breaks, the rock will continue to move in a straight line tangent to the circle at the point where the…
Correct answer: Path B145. When a body moves in a circle, the angle between its velocity v and angular velocity ω is always
- A. 0o
- B. 180o
- C. 360o
- D. 90o
Explanation: When a body moves in a circle, the angle between its velocity vector (v) and angular velocity vector (ω) is always 90 degrees, or π/2…
Correct answer: 90o- A. 6cm
- B. 9cm
- C. 3cm
- D. 7cm
Explanation: Given the linear velocity of 81 cm/s and the angular velocity of 27 rad/s, we can use the formula v = r * ω to find the radius.
Correct answer: 3cm- 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.
Correct answer: 3.14m- A. 16ms-1
- B. 10ms-1
- C. 4ms-1
- D. 6ms-1
Explanation: The linear velocity (also known as tangential velocity) of a particle moving in a circular path with a radius of 2 meters and an angular…
Correct answer: 16ms-1- A. v = ω * r
- B. r = v / ω
- C. v = r / ω
- D. ω = v / r
Explanation: The correct answer is v = ω * r. This formula directly relates the linear velocity v, angular velocity ω, and radius r in circular motion.
Correct answer: v = ω * r- A. 4rads-1
- B. 4.6rads-1
- C. 5rads-1
- D. 2.8rads-1
Explanation: The correct answer is Option C: 5rads-1. By using the formula Angular Speed (ω) = Linear Speed (v) / Radius (r) and plugging in the values…
Correct answer: 5rads-1- A. 1ms-1
- B. 3ms-1
- C. 2ms-1
- D. 4ms-1
Explanation: The linear speed v of a point on a rotating disc is calculated using the formula v = r * ω, where r is the radius in meters and ω is the…
Correct answer: 4ms-1- A. 2π
- B. 2π/60
- C. 2π/12×60
- D. 2π/24×60
Explanation: The linear velocity of the tip of the second hand is calculated using the formula: Linear Velocity (v) = Radius (r) * Angular Velocity…
Correct answer: 2π/60- A. Is centripetal acceleration
- B. Is tangential acceleration
- C. Is radial acceleration
- D. Both A and B
Explanation: In uniform circular motion, the relationship between acceleration (a), radius (r), and angular acceleration (α) is given by the equation…
Correct answer: Is tangential acceleration- A. 2rads-1
- B. 4rads-1
- C. 6rads-1
- D. 8rads-1
Explanation: First, convert the linear velocity to m/s: 16 m/s. Then use the formula Linear Velocity = Radius x Angular Velocity to find that the…
Correct answer: 8rads-1- A. 8rad/s2
- B. 10m/s2
- C. 16rad/s2
- D. 10rad/s2
Explanation: The angular acceleration of the wheel is correctly calculated as 8 radians per second squared.
Correct answer: 8rad/s2156. When a wheel of 1m in diameter makes 30rev/min, the linear speed of point on its rim in ms-1 is
- A. 2π
- B. π/2
- C. 3π
- D. 4π
Explanation: To find the linear speed of a point on the rim of a wheel with a 1-meter diameter when it's making 30 revolutions per minute, you first…
Correct answer: π/2- A. A
- B. B
- C. C
- D. D
Explanation: When a body moves in a circular path with constant speed, the tangential acceleration is zero because the speed remains constant.
Correct answer: B- A. 250 N
- B. 1000 N
- C. 750 N
- D. 1200 N
Explanation: The correct centripetal force is calculated by converting the car's speed to m/s, determining the centripetal acceleration, and then…
Correct answer: 1000 N- A. 0.8m/s2
- B. 1.6π2m/s2
- C. 0.4m/s2
- D. 0.4π2m/s2
Explanation: Option B is correct. EXPLANATION: To find the acceleration of a point on the cycle wheel, you need to calculate the angular velocity and…
Correct answer: 1.6π2m/s2- A. Travelling
- B. Centrifugal
- C. Bending
- D. Centripetal
Explanation: Option D is correct. The force required to bend the normally straight path of a particle into a circular path is called centripetal force.
Correct answer: Centripetal