Physics Rotational Mechanics Level: High School
A merry-go-ground starts from rest and reaches 1.8 s^-1 in 30.s . Find infinite .
Physics Rotational Mechanics Level: High School
A fan turns a total of 800 . radian s in 20.0 s . Find omega and T (its period) .
Physics Rotational Mechanics Level: High School
The tachometer on a car reads 2500 rpm (revolutions per minute ) . Find omega in radians / s .
Physics Rotational Mechanics Level: High School
Conservation of Angular Momentum
Two wheels with rotational inertias 1.0 kg m^2 and 1.5 kg m^2 are rotating on the same axis at 20 rad/s and 12 rad/s respectively in opposite directions if the wheels are suddenly coupled together find the common angular speed of the wheels after coupling .a) 14 rad / s
b) 0.57 rad / s
c) 0.40 rad / s
d) 0.80 rad / s
Physics Rotational Mechanics Level: High School
An object with a rotational inertia of 0.15 kgm^2 about an axis is spinning about that axis with an angular velocity of 12 rad/s . The magnitude of the angular momentum of the object is ?a) 1.8 kg m^2 / s
b) 1.5 kg m^2 / s
c) 2.0 kg m^2/ s
d) 1.6 kg m^2 / s
I = 0.15 kgm^2 , W = 12 rad/sL = Iw = 0.15 x 12 = 1.8 kgm^2/s
Physics Rotational Mechanics Level: High School
Find the kinetic energy of a cylindrical shaft of mass 2.0 kg and radius 10 cm rotating about its central axis at 600 rad/s .a) 1200 J
b) 1800 J
c) 12000 J
d) 18000 J
Physics Rotational Mechanics Level: High School
A force of 30 N is applied perpendicular to the face of a door at a distance of 1.5 m from the hinge of the door . Find the torque on the door about its hinge .a) 45 N m .
b) 20 N/m .
c) 2 N m .
d) 20 N m .
Physics Rotational Mechanics Level: High School
Consider a crane that works by winding the cable around a drum of radius 1.3 m . The motor on the drum causes it to angularly accelerate at .4 rad/sec^2 for 4 seconds before leveling off and maintaining a constant angular velocity . How long does it take to roll in 75 m worth of cable .
Physics Rotational Mechanics Level: High School
Equation of Rotational Motion
A sphere of radius is 40 cm begins angularly accelerating at 5 rad/sec^2 for a period of 7 seconds . At the end of the time what is :a) the angular velocity ?
b) the angular displacement ?
c) the tangential velocity of a point on the edge of rotation
d) the tangential acceleration of a point on the edge of rotation
e) the distance a point on the edge has rotated through .
Physics Rotational Mechanics Level: High School
A 12 kg object is attached to a cord that is wrapped around a wheel of radius r = 10 cm . The acceleration of the object down the frictionless incline is measured to be 2.00 m/s^2 . (The angle beneath the incline is 37 degrees ) . Assume the axle of the wheel to be frictionless . Determine the following .a) the tension in the rope
b) the moment of inertia of the wheel
c) the angular speed of the wheel 2.00 seconds after it begins rotating , starting from rest .
Physics Rotational Mechanics Level: High School
Rotational Equilibrium
A steel bar is 1.380 meters long and weighs 2.02 kg . A weight of 2.46 kg is hung 0.45 metres from the left hand end . The bar is to be suspended from a spring balance-and be stable and horizontal . Find the location of the point of suspension along the iron bar ?
Physics Rotational Mechanics Level: High School
Rotational Equilibrium
The upper end of a straight ladder is leaning against the vertical side of a building , with its lower end on a horizontal sidewalk . To the consternation of the painter standing on it , the upper end is slipping down the wall at a constant rate of 2 feet /sec . The lower end is , therefore , sliding along the sidewalk . Having had a course in the Calculus , the painter is , of course , interested in how fast the lower end is moving . If the ladder is 17 feet long , how fast is the lower end moving when the upper end is 15 feet above the ground ?
Physics Rotational Mechanics Level: High School
Rotational Equilibrium
A shop sign weighing 220 N is supported by a uniform 131 N beam of length L = 1.79 m as shown in the figure at “click here” . The guy wire is connected D = 1.16 m from the backboard . Find the tension in the guy wire . Assume theta = 42.2 degrees .
Physics Rotational Mechanics Level: High School
Rotational Equilibrium
Calculate F1 , for the beam shown in the figure at “click here” . Assume it is uniform and has a mass of 254 kg . For the distances assume that D1 = 1.92 m , D2 = 4.04 m, D3 = 3.10 m and D4 = 1.16 m . For the forces assume that f3 = 4160 N . f4 = 3110 N and f5 = 1950 N .
Physics Rotational Mechanics Level: High School
Rotational Equilibrium
Three boys are trying to balances on a seesaw , which consists of a fulcrum rock , acting as a pivot at the center , and a very light board L = 3.70 m long , see the figure at ‘click here’ . Three boys are already on either end . One has a mass of m1 = 49.6 kg , and the other a mass of m2 = 37.6 kg . How far from the center should the third boy , whose mass is m3 = 25.0 kg , place himself so as to balance the seesaw ?