QB2b. Calculate the frequency in Hz of the train wheel of radius R=840 mm if the train is moving with the speed of v=153 km h¨¹. Enter your answer in the box below.
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- Suppose a teacher is riding a Ferris wheel. The maximum height they attain is 30 m and theminimum height is 6 m. The time it takes to make one full rotation is about 5 minutes. Determine:a/ The periodb/ The amplitudec/ A possible equation that models this situation, if the time starts at the minimum height.The circular blade of a table saw spins at 3600 rpm (revolution per minute). What is its frequency, in Hertz? Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.An internal mechanism is used to maintain a constant angular rate of 0.05 rad/s about the z-axis of the spacecraft as the telecospic booms are extended at a constant rate. The length I is varied from essentially zero to 3m. The maximum acceleration to which the sensitive experiment modules P may be subjected is 0.011 m/s. Determine the the maximum allowable boom extension rate in mm/s. Round your answer to 3 decimal places. 1.2 m 1.2 m
- 1.1 A thin uniform disk of radius a, mass m and A mass per unit length. Find the gravitational force that the ring exerts on a particle of mass M at distance d from the center of the ring, see figure below. of Note! Disk is in the ZX-plane and D is along the Y-axis 1.2 Given that A = Skgm", a = 50 cm and d 1.1 m. Determine the gravitational force that the disk exerts on a particle of mass M = 750 g.Ex. 20 : A particle performs S.H.M. of amplitude 10 cm, its maximum velocity during oscillations . is cm/s. What is its 100 displacement, when the velocity is 60 cm/s ?10:25 0. A Shop O O G ll 87% i AIATS For Two Year Medic. A 18 /180 (02:58 hr min Mark for Review A small particle of mass m is attached at one end of a light string of length I and other end is connected to the ceiling of a satellite revolving around earth in circular orbit. The satellite is at height h = 2Re above earth surface. The period of oscillation of mass will be (Re = radius of earth) 3R 2n, g Zero Infinity Clear Response II III
- Deduce an expression for a rotation operation along z-axis R₂(a)= exp. La ħthe mass or the carth is Me, show thnat the gravitational potential energy of a body of mass m located a distance r from the center of the earth is V, = -GM¸m/r. Recall that the gravitational force acting between the earth and the body is F = G(M¸m/P), Eq. 13-1. For the calculation, locate the datum at r→ ∞. Also, prove that F is a conservative force.3. A simple pendulum consists of a pendulum bob of mass M at the end of a "mass-less" string of length L. The pendulum bob oscillates back and forth and is moving at speed v when the string is oriented at a constant angle 0 from vertical. Give answers in terms of L, 0, v, M and/or g. This is similar to the vertical circle from the Circular Motion Experiment worksheet except that we are not going in a full circle. a. Draw the free body diagram of forces acting on the pendulum bob. Include a coordinate system on your diagram showing your choice for the +x and +y directions. b. Write out Newton's 2nd law EF = mã for each direction. X: y: c. What is the tangential acceleration of the pendulum bob? d. Determine the tension of the string. e. What is the magnitude of the total acceleration of the pendulum bob?
- (b) What is the maximum speed? I have attached the file thanks.The hoop is cast on the rough surface such that it has an angular velocity w= 5 rad/s and an angular acceleration a = 4 rad/s. Also, its center has a velocity of vo = 5 m/s and a deceleration ao = 2 m/s. Determine the magnitude of the acceleration of point Band its direction angle measured CCW from the z positive axis. 4Y 45° 0.3 m Select one OA ap - 5.04 m/s; and 0 170.31 O B.ap 6.86 m/s; and0 160.12 7.81 m/st; and 0 162.62 O D.ap 9.29 m/s and 0- 151.34An airplane propeller is rotating at 1900rpm. how many seconds does it take for the propeller to turn through 48.0 degrees? if the propeller were Turing at 24rad/s at how many rpm would it be turning? when the propeller were turning at 24rad/s what is the period (in seconds) of this propeller?