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B.Tech Robotics Rotational Motion and Angular Momentum — practice questions

Explore 56 free Rotational Motion and Angular Momentum questions in B.Tech Robotics Mechanics. Open each question or exercise to read its content, reference answers and available explanation.

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Rotational Motion and Angular Momentum questions and exercises with answers

Showing questions 1–30 of 56.

Pair each linear idea with its twinRead the answer and worked solution →Flip to twin each law with its spin formRead the answer and worked solution →Sort each quantity by its motionRead the answer and worked solution →Fill the gaps in the spin equationsRead the answer and worked solution →Which is harder to spin up?Read the answer and worked solution →Order the spin dynamics stepsRead the answer and worked solution →Order the cans down the rampRead the answer and worked solution →Judge each spinning claimRead the answer and worked solution →Tap every chip that fits the labelRead the answer and worked solution →Tap the odd one in each rowRead the answer and worked solution →Tap the wrong word in each lineRead the answer and worked solution →Pop only the spinning quantitiesRead the answer and worked solution →Snap-pick the rotation numbersRead the answer and worked solution →Spot the false spinning statementRead the answer and worked solution →How is angular velocity defined?Read the answer and worked solution →A point sits at radius r on a wheel turning with angular velocity omega. What is its linear speed?Read the answer and worked solution →A robot joint is turning and its angular velocity is falling steadily. What is the sign of its angular acceleration?Read the answer and worked solution →A wheel spins at 250 rpm. What is this angular velocity in radians per second?Read the answer and worked solution →A bicycle wheel is spun from rest up to 250 rpm in 5.00 s. What is its angular acceleration?Read the answer and worked solution →A wheel turning at 26.2 rad/s is braked, giving an angular acceleration of -87.3 rad/s^2. How long does it take to stop?Read the answer and worked solution →How is tangential acceleration related to angular acceleration for a point at radius r?Read the answer and worked solution →Which rotational equation gives angular velocity after a time t under constant angular acceleration?Read the answer and worked solution →Which rotational equation gives the angle turned in time t under constant angular acceleration?Read the answer and worked solution →Which rotational equation links angular velocity to angle turned without involving time?Read the answer and worked solution →A fishing reel starts from rest and is given an angular acceleration of 110 rad/s^2 held for 2.00 s. What is its final angular velocity?Read the answer and worked solution →Fishing line unwinds from a reel at a radius of 4.50 cm from the axis while the reel turns at 220 rad/s. At what speed does the line leave the reel?Read the answer and worked solution →A reel starts from rest with an angular acceleration of 110 rad/s^2 held for 2.00 s. How many revolutions does it turn through?Read the answer and worked solution →A reel turning at 220 rad/s is braked with an angular acceleration of -300 rad/s^2. How long does it take to come to rest?Read the answer and worked solution →A fly sits on the rim of a microwave plate of radius 0.15 m that turns at 6.0 rpm. What total distance does the fly travel in 2.0 min?Read the answer and worked solution →Are the rotational kinematic relations laws of nature or descriptions of motion?Read the answer and worked solution →

Worked practice questions

Pair each linear idea with its twin

Read exercise and reference answers
Matching pairs
  1. Left
    Force
    Right
    Torque, written tau
  2. Left
    Mass
    Right
    Moment of inertia, written I
  3. Left
    Velocity
    Right
    Angular velocity, written omega
  4. Left
    Acceleration
    Right
    Angular acceleration, written alpha
  5. Left
    Momentum p = m v
    Right
    Angular momentum, written L = I omega
  6. Left
    Distance x
    Right
    Rotation angle, written theta
  7. Left
    Kinetic energy
    Right
    Rotational KE, half I omega squared
  8. Left
    F = m a
    Right
    Newton's second law for spin, tau = I alpha
Instructions
Tap a straight-line quantity, then tap its rotational partner.
_Source: OpenStax College Physics, section 10.3 Dynamics of Rotational Motion: Rotational Inertia_

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Flip to twin each law with its spin form

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Matching pairs
  1. A
    v = v0 + a t
    B
    w = w0 + alpha t
  2. A
    F = m a
    B
    tau = I alpha
  3. A
    p = m v
    B
    L = I w
  4. A
    KE = half m v sq
    B
    KE = half I w sq
  5. A
    x = v bar t
    B
    theta = w bar t
  6. A
    W = F d
    B
    W = tau theta
Instructions
Flip two cards to pair a straight-line law with its spin twin, where w means omega.
_Source: OpenStax College Physics, section 10.2 Kinematics of Rotational Motion_

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Sort each quantity by its motion

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Left
Straight line
Items
  1. Item
    Torque
    Answer
    Rotational
  2. Item
    Force in newtons
    Answer
    Straight line
  3. Item
    Mass in kilograms
    Answer
    Straight line
  4. Item
    Moment of inertia
    Answer
    Rotational
  5. Item
    Angular momentum
    Answer
    Rotational
  6. Item
    Momentum p = m v
    Answer
    Straight line
  7. Item
    Metres per second
    Answer
    Straight line
  8. Item
    Radians per second
    Answer
    Rotational
Right
Rotational
Instructions
Swipe left for a straight-line quantity, right for a rotational one.
_Source: OpenStax College Physics, section 10.1 Angular Acceleration_

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