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A plane is traveling at 200 m/s following the arc of a vertical circle of radius r. At the top of its path, the passengers experience weightlessness. To one significant figure, what is the value of r?
A plane is traveling at 200 m/s following the arc of a vertical circle of radius r. At the top of its path, the passengers experience weightlessness. To one significant figure, what is the value of r?
"At the top of its path, the passengers experience weightlessness." This means that here thecentrifugal accelerationis most probably equal to thegravitationalforce at that place. The value ofR is4km.Centrifugal acceleration Ac = rω^2where, r is theradiusof the flight path and ω is the angular velocityBut ω = v/rwhere v is tangential velocitySo Ac = r(v/r)^2 = v^2/r = gThen r = v^2/g = 200^2/9.81 =4077.5mFor one significant figure, the value ofR is4km.Centripetal acceleration- centripetal acceleration, or the speed of a body moving along a circle. Becausevelocityis a vector quantity, as a body moves on a circular course, its direction constantly changes and as a result, its velocity varies, leading to anacceleration.To know more aboutGravitational, click here:brainly.com/question/3009841#SPJ4...