Axis1CMLA large circular platform is supported on frictionlessbearings and is at rest. A 68 kg runner also at rest on theplatform begins running in a counter-clockwise 4 metercircular path and the platform rotates in the oppositedirection. The observed angular velocity of the platformis 0.59 rad/s. Determine the runner's (a) angular velocityin rad/s m/s, (b) linear velocity with respect to theobserver in m/s and (c) linear velocity with respect to themoving platform. The mass moment of inertia of theplatform is 3046 kg-m^2.Express algebraic solution of (b) in terms of m, R, omegaand lo.m68R400lo0.59 3046

m=68 kgR= 4 mωp=0.59 m/sIo=3046 kg-m2

Answered: A large circular platform is supported…

Similar questions

The dung beetle is known as one of the strongest animals for its size, often forming balls of dung up to 10 times their own mass and rolling them to locations where they can be buried and stored as food. A typical dung ball formed by the species K. nigroaeneus has a radius of 1.95 cm and is rolled by the beetle at 6.10 cm/s. (a) What is the rolling ball's angular speed (in rad/s)? rad/s (b) How many full revolutions are required if the beetle rolls the ball a distance of 1.35 m?
While punting a football, a kicker rotates his leg about the hip joint. The moment of inertia of the leg is 3.34 kg · m2 and its rotational kinetic energy is 157 J. (Enter the magnitudes.) What is the angular velocity of the leg (in rad/s)? What is the velocity (in m/s) of the tip of the punter's shoe if it is 1.05 m from the hip joint?
A rock tied to the end of string swings at a constant angular rate. If you are told that the string can support a total of 85 N of force before breaking, what is the maximum angular velocity the rock can rotate if the rock has a mass of 0.16 kg, and the length of the string is 0.5 m? Give your answer in units of radian per second
A wheel (of radius 0.5 meters) spins with an angular velocity of 2 radians per second (rad/s). If this wheel were rolling on the ground without sliding, how fast would the wheel be traveling? O 1 m/s O 0.5 m/s It's not this one. O 2 m/s
What is the initial angular velocity of an object if it has a final angular velocity of -9.62rad/s, it has an angular acceleration of -1.35rad/s/s, and it rotates for a time of 0.64s? ωo = _____
Consider the image below of a hammer throw. At the point of release of the hammer, an athlete has an angular velocity of 2.70 rad/sec. If we assume that the length of the athlete’s arms plus the hammer is 1.5 m, and that the angular acceleration of the athlete and hammer at this instant is 0.65rad/sec2, what is the a) tangential velocity, the b) tangential acceleration, and the c) centripetal acceleration of the hammer mass?
Assume Earth is approximately a uniform, solid sphere that has a mass of 5.98×10^24 kg and a radius of 6.38×10^6 m. Calculate the angular momentum ?? of Earth as it spins on its central axis once each day. ??= kg·m2/s
Jeff, running outside to play, pushes on a swinging door, causing its motion to be briefly described by ? = 8.5t2 + 0.650t + 1.75, where t is in seconds and ? is in radians. At t = 0 and at t = 1.50 s, what are the following? (a) angular position of the door ?(0) = rad ?(1.50) = rad (b) angular speed of the door ?(0) = rad/s ?(1.50) = rad/s (c) angular acceleration of the door ?(0) = rad/s2 ?(1.50) = rad/s2
A playground uniform merry-go-round has a mass of 110 kg and a radius of 1.90 m and it is rotating at a rate of 40 revolutions per minute. a) What is its angular velocity [ in rad/s] after a 20-kg child gets onto it by grabbing its outer edge? The child is initially standing on the ground. b) What is the new angular velocity [in rad/s] after the child moves to the center of the merry-go-round?