Advertisements
Advertisements
Question
An aircraft executes a horizontal loop of radius 1.00 km with a steady speed of 900 km/h. Compare its centripetal acceleration with the acceleration due to gravity.
Advertisements
Solution
Radius of the loop, r = 1 km = 1000 m
Speed of the aircraft, `v = 900 "km/h" = 900 xx 5/18 = 250 "m/s"`
Centripetal acceleration, `a_c = v^2/r`
`=(250)^2/1000 = 62.5 "m/s"^2`
Acceleration due to gravity, g = 9.8 m/s2
`a_c/g = 62.5/9.8 = 6.38`
`a_c =6.38 g`
APPEARS IN
RELATED QUESTIONS
A particle rotates in U.C.M. with tangential velocity V along a horizontal circle of diameter ‘D' . Total angular displacement of the particle in time 't' is..........
A particle starts from the origin at t = 0 s with a velocity of 10.0 `hatj "m/s"` and moves in the x-y plane with a constant acceleration of `(8.0 hati + 2.0 hatj) ms^(-2)`.
- At what time is the x-coordinate of the particle 16 m? What is the y-coordinate of the particle at that time?
- What is the speed of the particle at the time?
How does uniform circular motion differ from uniform linear motion?
Is it possible to have an accelerated motion with a constant speed? Explain
Earth moves around the sun with uniform velocity.
What is a conical pendulum?
Which one of the following is most likely not a case of uniform circular motion?
If a particle moves with uniform speed then its tangential acceleration will be ______.
A particle of mass m is executing uniform circular motion on a path of radius r. If p is the magnitude of its linear momentum, the radial force acting on the particle is ______.
A body of mass ·m' is moving along a circle of radius 'r' with linear speed 'v'. Now, to change the linear speed to `V/2` and to move it along the circle of radius '4r', required change in the centripetal force of the body is ______.
A particle is perfonning uniform circular motion. If 'θ', 'ω', 'α' and ' a' are its angular displacement, angular velocity, angular acceleration, and centripetal acceleration respectively, then which of the following is 'WRONG'?
Two particles P and Q are moving in concentric circles of rarui rp and rQ respectively. If their period of revolutions are in ratio 2 : 3, then ratio of their centripetal acceleration is ____________.
The given graph represents motion with ______ speed.
Earth also moves in circular orbit around sun once every year with on orbital radius of 1.5 × 1011 m. What is the acceleration of earth (or any object on the surface of the earth) towards the centre of the sun? How does this acceleration compare with g = 9.8 m/s2?
A wheel rotating at the same angular speed undergoes constant angular retardation. After the revolution, angular velocity reduces to half its initial value. It will make ______ revolution before stopping.
A ceiling fan rotates about its own axis with some angular velocity. When the fan is switched off the angular velocity becomes `(1/4)^"th"` of the original in time 't' and 'n' revolutions are made in that time. The number of revolutions made by the fan during the time interval between switch off and rest are ______. (Angular retardation is uniform)
A simple pendulum of length l has maximum angular displacement θ. The maximum kinetic energy of the bob of mass m is ______.
(g = acceleration due to gravity)
Explain the meaning of uniform circular motion.
What is the direction of the velocity of an object at any point during uniform circular motion?
The relationship between an object's linear velocity (v) and its angular velocity (ω) in a circular path of radius (r) is given by:
