Conical Pendulum 18.7 At what angle to the horizontal are the wings of the plane? Value Units An aircraft travelling at 160 knots maintains its altitude during a circular banked "rate one turn", which is a 3.0° s¹ turning rate. (1 knot = 0.514 ms ¹) . Time period: tp Check my answer Relevant equations • Newton's second law: F - ma • Centripetal acceleration: centripetal rw² • Speed: v-rw • Angular frequency: w - 2π f 1 f - Hint1 Hint 2 A LEVEL CCC Hint 3 2

Explain why centripetal acceleration changes the direction of velocity in circular motion but not its magnitude.

A fairground ride spins its occupants inside a flying saucer-shaped container. If the horizontal circular path the riders follow has an 8.00-m radius, at how many revolutions per minute are the riders subjected to a centripetal acceleration equal to that of gravity?

Using the average distance of Earth from the Sun, and the orbital peirod of Earth, (a) find the centripetal acceleration of Earth in its motion about the Sun. (b) Compare this value to that of the centripetal acceleration at the equator due to Earth’s rotation.

between points in a plane do not change when a coordinate system is rotated In other words, the magnitude of a vector Is invariant under rotations of the coordinate system. Suppose a coordinate system S is rotated about its origin by angle to become a new coordinate system S’, as shown in the following figure. A point in a plane has coordinates (x,y)in S and coordinates (x,y) in S’. (a) Show that, during the transformation of rotation, the coordinates in S are expressed in terms of the coordinates in S by the following relations: {x=xcos+ysiny=xsin+ycos (b) Show that the distance of point Pto the origin is invariant under rotations of the coordinate system. Here, you have to show that x2+y2=x2+y2. (c) Show that the distance between points Pand Q is invariant under rotations of the coordinate system. Here, you have to show that ( xP =xQ )2+( yP yQ )2=( xP =xQ )2+( yP yQ )2 .

How would I determine if the object is undergoing uniform circular motion

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A particle is moving around in a circle and its position is given in polar coordinates as x = Rcosθ, and y = Rsinθ, where R is the radius of the circle, and θ is in radians. From these equations derive the equation for centripetal acceleration. Spammed/Copied/Short answers are not accepted Give Proper Explanation If there is any diagram possible, Provide it! Try explaining everything without missing any point All The Best :)