A bob of mass 0.320 kg is attached to one end of a light inextensible string of length 0.600 m, whose other end is attached to a fixed pivot. The bob performs uniform circular motion in a horizontal plane, with the string making an angle of 30.0° with the vertical. 30⁰ angular speed = 1 What is the angular speed of this circular motion? Give your answer by entering a number, correct to an appropriate number of significant figures, in the empty box below. rad s 1. m
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- The angular position of a rotating object is given by the equation 0 = a + bt + ct2 where a, b, and c are constants. Here a = 1.44 rad, b = 2.00 rad/s, and c = 3.06 rad/s2. (a) What is the position of the object at t1 = 0 and t2 = 4.00 s? 01 rad 02 rad (b) What is the angular speed of the object at t1 = 0 and t, = 4.00 s? %3D rad/s @2 = rad/s (c) What is the angular acceleration of the object at t, = 0 and t, = 4.00 s? a1 = rad/s? rad/s?A string trimmer is a tool for cutting grass and weeds; it utilizes a length of nylon "string" that rotates about an axis perpendicular to one end of the string. The string rotates at an angular speed of 46 rev/s, and its tip has a tangential speed of 60 m/s. What is the length of the rotating string? Number Type your answer here Units Choose your answer hereA wheel of radius 0.427 m is mounted on a frictionless horizontal axis. The rotational inertia of the wheel about the axis is 0.0156 kg·m2. A massless cord wrapped around the wheel is attached to a 3.02 kg block that slides on a horizontal frictionless surface. If a horizontal force of magnitude P = 9.18 N is applied to the block as shown in the figure, what is the angular acceleration of the wheel? Take the clockwise direction to be the negative direction and assume the string does not slip on the wheel.
- Problem 4: A bicyclist notes that the pedal sprocket has a radius of r, = 10.5 cm while the wheel sprocket has a radius ofrw = 6.5 cm. The two sprockets are connected by a chain which rotates without slipping. The bicycle wheel has a radius R = 66 cm. When pedaling the cyclist notes that the pedal rotates at one revolution every t = 1.1 s. When pedaling, the wheel sprocket and the wheel move at the same angular speed. R Randomized Variables rp = 10.5 cm rw = 6.5 cm R = 66 cm t = 1.1 sThe distance from the fisherman's hand to the tip of the rod is L = 1.94 m. A fish is on the line, and it pulls the line with a force of F = 110 N at an angle 37.0° below the horizontal. What is the magnitude of the torque (in N · m) exerted by the fish about an axis perpendicular to the page and passing through the fisherman's handTwo masses, m₁ = 31.0 kg and mp = 42.0 kg are connected by a rope that hangs over a pulley (as in the figure(Figure 1)). The pulley is a uniform cylinder of radius R = 0.316 m and mass 3.3 kg. Initially, mis on the ground and mp rests 2.5 m above the ground. igure MA MB 4 2.5 m 1 of 1 Part A If the system is now released, use conservation of energy to determine the speed of mp just before it strikes the ground. Assume the pulley is frictionless. Express your answer using three significant figures and include the appropriate units. V = Di Value Submit μA Drovide Foodhark Request Answer P Pearson Units Review | Constants ?
- Your grandmother enjoys creating pottery as a hobby. She uses a potter's wheel, which is a stone disk of radius R = 0.540 m and mass M = 100 kg. In operation, the wheel rotates at 45.0 rev/min. While the wheel is spinning, your grandmother works clay at the center of the wheel with her hands into a pot-shaped object with circular symmetry. When the correct shape is reached, she wants to stop the wheel in as short a time interval as possible, so that the shape of the pot is not further distorted by the rotation. She pushes continuously with a wet rag as hard as she can radially inward on the edge of the wheel and the wheel stops in 6.00 s. You would like to build a brake to stop the wheel in a shorter time interval, but you must determine the coefficient of friction (?k) between the rag and the wheel in order to design a better system. You determine that the maximum pressing force your grandmother can sustain for 6.00 s is 65.0 N. What If? If your grandmother instead chooses to press…A propeller is modeled as five identical uniform rods extending radially from its axis. The length and mass of each rod are 0.829 m and 2.71 kg, respectively. When the propellor rotates at 589 rpm (revolutions per minute), what is its rotational kinetic energy ??A person pushes on a lever 0.7 meters away from the axis of rotation with 100 N of force. The rotational inertia of the lever is 35 kg*m2. Calculate the angular acceleration of the lever.
- An electric ceiling fan is rotating about a fixed axis with an initial angular velocity magnitude of 2.00 rad/s . The magnitude of the angular acceleration is 0.5 rad/s2 . Both the angular velocity and angular acceleration are directed clockwise. The electric ceiling fan blades form a circle of diameter 0.50 m. A) How long does it take for the angular velocity to reach 4 rad/s? B) What angle do the blades turn through in that time?Two masses m1 3.2 kg and m2 1.6 kg hang from a pulley as shown in the figure. The moment of inertia through the axis of rotation passing through the center of the pulley is I = 2 kg m². The ropes holding the masses are attached to opposite sides of the pulley at a radius R = 0.5 m from the center of the pulley. R T1 T2 mị m2 Find the magnitude of the angular acceleration a of the pulley system. Pick the correct answer 4.9 rad/s? ,2 7.4 rad/s? 2.5 rad/s? -7.4 rad/s? 9.8 rad/s? 15The uniform 22-kg plate is released from rest at the position shown. (Figure 1) Figure A x 0.5 m- 1 of 1 0.5 m > Part A Determine its initial angular acceleration. Express your answer in radians per second squared to three significant figures. Enter positive value if the angular acceleration is clockwise and negative value if the angular acceleration is counterclockwise. a = Submit Part B 195| ΑΣΦ. 41 Request Answer vec ? rad/s² Review Determine the x and y components of reaction at the pin A using scalar notation. Express your answers in newtons to three significant figures separated by a comma.