-3.00 m- 30.00 5.00

Sand moves without slipping at 6.0 m/sm/s down a conveyer that is tilted at 15∘∘. The sand enters a pipe hhh = 5.0 mm below the end of the conveyer belt, as shown in the figure (Figure 1).

A fan blade rotates with angular velocity given by w:(t) = y – B t?. Part C If y = 5.50 rad/s and B = 0.820 rad/s³ , calculate the average angular acceleration aav-z for the time interval t = 0 to t = 2.50 s . %3D ΑΣφ Aav-z

A uniform thin rod of mass m = 3.7 kg and length L = 1.4 m can rotate about an axle through its center. Four forces are acting on it as shown in the figure. Their magnitudes are F1 = 6.5 N, F2 = 3.5 N, F3 = 15 N and F4 = 16.5 N. F2 acts a distance d = 0.22 m from the center of mass. Calculate the magnitude τ1 of the torque due to force F1, in newton meters.  Calculate the magnitude τ2 of the torque due to force F2 in newton meters.    Calculate the magnitude τ3 of the torque due to force F3 in newton meters.   Calculate the magnitude τ4 of the torque due to force F4 in newton meters.  Calculate the angular acceleration α of the thin rod about its center of mass in radians per square second. Let the counter-clockwise direction be positive.

Problem 24:  An amusement park ride rotates around a fixed axis such that the angular position of a point on the ride follows the equation: θ(t) = a + bt2 – ct3 where a = 1.1 rad, b = 0.35 rad/s2 and c = 0.025 rad/s3. Randomized Variablesa = 1.1 radb = 0.35 rad/s2c = 0.025 rad/s3 Part (a)  Determine an equation for the angular speed of the ride as a function of time, ω(t). Write your answer using the symbols a, b, and c, instead of their numerical values.  Part (d)  Determine an equation for the angular acceleration of the ride as a function of time, α(t). Write your answer using the symbols a, b, and c, instead of their numerical values.

Consider a non-rotating space station in the shape of a long thin uniform rod of mass 7.07 x 10^6 kg and length 526 meters. Rocket motors on both ends of the rod are ignited, applying a constant force of F = 4.14 x 10^5 N to each end of the rod as shown in the diagram, causing the station to rotate about its center. If the motors are left running for 1 minutes and 10 seconds before shutting off, then how fast will the station be rotating when the engines stop?     1.25 rpm     1.50 rpm     0.89 rpm     0.53 rpm

Consider a non-rotating space station in the shape of a long thin uniform rod of mass 6.85 x 10^6 kg and length 1476 meters. Rocket motors on both ends of the rod are ignited, applying a constant force of F = 4.65 x 10^5 N to each end of the rod as shown in the diagram, causing the station to rotate about its center. If the motors are left running for 2 minutes and 16 seconds before shutting off, then how fast will the station be rotating when the engines stop?     1.73 rpm     0.72 rpm     0.58 rpm     1.08 rpm