PHYSICS

posted by .

A weather vane initially at rest has a moment of inertia of 0.115 kg · m2 about its axis of rotation. A 44.5 g piece of clay is thrown at the vane and sticks to it at a point 10.5 cm from the axis. The initial velocity of the clay is 18.5 m/s, directed perpendicular to the vane. Find the angular velocity of the weather vane just after it is struck.

  • PHYSICS -

    The moment of inertia of weather vane with piece of clay is
    I = I(vane) +mR^2 = 0.115+44.5•10^-3•(0.105)^2=
    = 1.2•10^-2 kg • m2.
    The torque due to the clay hitting is M=F•R
    F•t=Δp=m•v, therefore F=m•v/t.
    Then M=F•R=m•v•R/t.
    From Newton’s 2 Law for rotation M=I• ε.
    m•v•R/t =I•ε.
    m•v•R/I= ε• t = ω
    ω = m•v•R/I ==44.5•10^-3•18.5•0.105/1.2•10^-2= 7.21 rad•s

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Physics

    Another Question---- A ball of clay of mass m travels with a velocity v in a path tangent to a disk of radius R and mass M. The clay collides with the disk tangentially to its outer rim (a totally inelastic collision) and the clay …
  2. physics

    a circular disc rotates on a thin air film with a period of 0.3s. its moment of inertia about its axis of rotation is 0.06kgm^2. a small mass is dropped onto th disc and rotates with it . the moment of inertia of the mass about the …
  3. SCIENCE

    CREATE ONE OF THE FOLLOWING WEATHER INSTRUMENTS:THERMOMETER,BAROMETER,ANEMOMETER,WEATHER VANE,OR RAIN GAUGE.
  4. physics

    A weather vane initially at rest has a moment of inertia of 0.119 kg · m2 about its axis of rotation. A 48.0 g piece of clay is thrown at the vane and sticks to it at a point 21.0 cm from the axis. The initial velocity of the clay …
  5. physics

    A weather vane initially at rest has a moment of inertia of 0.119 kg · m2 about its axis of rotation. A 48.0 g piece of clay is thrown at the vane and sticks to it at a point 21.0 cm from the axis. The initial velocity of the clay …
  6. Physics

    a circular disc rotates on a thin air film with a period of 0.3s. its moment of inertia about its axis of rotation is 0.06kgm^2. a small mass is dropped onto th disc and rotates with it . the moment of inertia of the mass about the …
  7. Physics

    A weather vane initially at rest has a moment of inertiaof 0.100 kg-m2about its axis of rotation. A 50.0 g pieceof clay is thrown at the vane and sticks to it at a point20.0 cm from the axis. The initial velocity of the clay is 15.0 …
  8. Physics

    Four masses (2kg 3kg 1kg and 2kg) are arranged on a square of side 1.2 m. What is the moment of inertia if the axis of rotation is at the center of the square?
  9. physics

    A 12.0-g piece of clay is launched horizontally at a 102-g wooden block that is initially at rest on a frictionless horizontal surface and connected to a spring having spring constant 52 N/m. The piece of clay sticks to the side of …
  10. physics

    A 12.0-g piece of clay is launched horizontally at a 102-g wooden block that is initially at rest on a frictionless horizontal surface and connected to a spring having spring constant 52 N/m. The piece of clay sticks to the side of …

More Similar Questions