model of a helicopter rotor has four blades, each of length 3.4 mm from the central shaft to the blade tip. The model is rotated in a wind tunnel at a rotational speed of 500 rev/minrev/min. 1. What is the linear speed of the blade tip? Express your answer in meters per second. 2. What is the radial acceleration of the blade tip expressed as a multip

A centrifuge accelerates uniformly from rest to 14000 rpm in 225 s. Part A Through how many revolutions did it turn in this time? Express your answer with the appropriate units. Ө = U 26242 rad Ć ?

E. The centripetal acceleration of a particle moving in a circle is given by the formula a = s²/r where r is the radius and s is the speed of the particle. a) Consider a as a function of s and r. Compute the differential of a. b) Suppose that the particle is moving with speed 50cm/sec and the radius is 10cm. Use the differential to estimate the change in centripetal acceleration if the radius is changed to 9.80cm and the speed is changed to 51cm/sec. (Answ: 15) c) Suppose that the speed can be measured to within +3% and the radius can be measured to within +2%. Use the differential to approximate the maximum percent error in a. (Hint: The percent error in a quantity is the error in the quantity (da) divided by the quantity (a).) (Ans: 8%)

I Review i Two satellites are in circular orbits around a planet that has radius 9.00 × 10° m. One satellite has mass 68.0 kg, orbital radius 6.00x107 m, and orbital speed 4800 m/s. The second satellite has mass 84.0 kg and orbital radius 5.00x107 m. Part A What is the orbital speed of this second satellite? Express your answer to three significant figures and include the appropriate units. HẢ ? V = Value Units Submit Request Answer

1. The vehicle moves along a circular track at a consistent speed of 10 m/s. Determine the radial and transverse components of the car's velocity and acceleration at the moment when θ=3π/4 radians. A. How do the radial and transverse components of acceleration relate to the car's motion on the circular track? B. What are the radial and transverse components of velocity, and how are they related to the car's motion on the circular track?

What is the radial acceleration of the blade tip expressed as a multiple of the acceleration due to gravity, g? Express your answer as a multiple of g.

An ultracentrifuge accelerates from rest to 109700 rpm in 2.05 min. ω = 109700 rpmt = 2.05 minl = 9.4 cma. What is its angular acceleration in rad/s2? α =b. What is the tangential acceleration of a point 9.4 cm from the axis of rotation in m/s2? at =c. What is the centripetal acceleration in multiples of g of this point at full speed? a/g =

A toy racecar races along a circular race track that has a radius of 19 meters. The racecar starts at the 3-o'clock position of the track and travels in the CCW direction. Suppose the car has swept out 2.25 radians since it started moving. a. The racecar is how many radius lengths to the right of the center of the race track? radius lengths Preview b. The racecar is how many meters to the right of the center of the race track? meters Preview c. The racecar is how many radias lengths above the center of the race track? radius lengths Preview d. The racecar is how many meters above the center of the race track? meterss Preview

Consider an annular disk rolling down an inclined plane. The annular disk has mass 154 [g], inner radius 8.00 [cm] and outer radius 12.0 [cm]. The inclined plane has a slope that forms an angle of 44.6° with the ground. A.  Suppose that the coefficient of static friction ?s is large enough so that the annular disk rolls without slipping. What is the magnitude of the translation acceleration felt by the annular disk's center of mass in the direction parallel to the slope? B. What is the minimum value that the coefficient of static friction ?s must take so that the annular disk rolls without slipping?

The rod O A rotates clockwise with a constant angular velocity of 6 rad/s. Two pin- connected slider blocks, located at B, move freely on OA and the curved rod whose shape is a limacon described by the equation r = 200(2 - cos ) mm. (Figure 1) Figure B 600 mm 6 rad/s 400 mm 200 mm 1 of 1 Part A Determine the speed of the slider blocks at the instant 0 = 145°. Express your answer to three significant figures and include the appropriate units. V = Value Submit μA Provide Feedback Request Answer Units ? Next >