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Tribe Challenge | U5 Review

Quiz by Robert Gnann

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31 questions
Show answers
  • Q1
    An object moves in a circle of radius 5 meters with a constant speed of 10 meters per second. What is its centripetal acceleration?
    20 \, \text{m/s}^2
    30 \, \text{m/s}^2
    15 \, \text{m/s}^2
    25 \, \text{m/s}^2
    120s
  • Q2
    Which of the following best describes the direction of the net force acting on an object undergoing uniform circular motion?
    The net force is directed away from the center of the circle.
    The net force is directed toward the center of the circle.
    The net force is zero.
    The net force is directed tangentially to the path of the object.
    30s
  • Q3
    A Ferris wheel with a radius of 10 meters rotates at a constant speed, completing one full revolution every 30 seconds. What is the angular velocity of the Ferris wheel in radians per second?
    \frac{2\pi}{30} \, \text{rad/s}
    \frac{\pi}{10} \, \text{rad/s}
    \frac{\pi}{15} \, \text{rad/s}
    \frac{\pi}{30} \, \text{rad/s}
    120s
  • Q4
    A cyclist is moving in a circular path with a radius of 20 meters. If the cyclist completes 5 full revolutions in 2 minutes, what is the angular speed of the cyclist in radians per second?
    \frac{\pi}{6} \, \text{rad/s}
    \frac{\pi}{30} \, \text{rad/s}
    \frac{\pi}{12} \, \text{rad/s}
    \frac{\pi}{20} \, \text{rad/s}
    120s
  • Q5
    A car travels in a circular path with a constant speed of 20 m/s. If the radius of the circular path is 50 meters, what is the car's centripetal acceleration?
    a_c = \frac{v^3}{r} = \frac{(20)^3}{50} = 160 \text{ m/s}^2
    a_c = \frac{v^2}{r^2} = \frac{(20)^2}{(50)^2} = 0.16 \text{ m/s}^2
    a_c = \frac{v}{r} = \frac{20}{50} = 0.4 \text{ m/s}^2
    a_c = \frac{v^2}{r} = \frac{(20)^2}{50} = 8 \text{ m/s}^2
    120s
  • Q6
    An athlete is running around a circular track with a radius of 100 meters. If his speed is 10 m/s, what is his centripetal acceleration?
    a_c = \frac{v^2}{r} = \frac{(10)^2}{100} = 1 \text{ m/s}^2
    a_c = \frac{v^2}{r^2} = \frac{(10)^2}{(100)^2} = 0.01 \text{ m/s}^2
    a_c = \frac{v}{r} = \frac{10}{100} = 0.1 \text{ m/s}^2
    a_c = v \times r = 10 \times 100 = 1000 \text{ m/s}^2
    120s
  • Q7
    What is the centripetal acceleration of a roller coaster car that travels at 15 m/s around a loop with a radius of 25 meters?
    a_c = \frac{v^2}{r^2} = \frac{(15)^2}{(25)^2} = 0.36 \text{ m/s}^2
    a_c = v \times r = 15 \times 25 = 375 \text{ m/s}^2
    a_c = \frac{v}{r} = \frac{15}{25} = 0.6 \text{ m/s}^2
    a_c = \frac{v^2}{r} = \frac{(15)^2}{25} = 9 \text{ m/s}^2
    120s
  • Q8
    A cyclist moves around a circular track with a radius of 30 meters. If the cyclist maintains a speed of 12 m/s, what is the magnitude of the centripetal acceleration?
    a_c = \frac{v}{r} = \frac{12}{30} = 0.4 \text{ m/s}^2
    a_c = \frac{v^2}{r} = \frac{(12)^2}{30} = 4.8 \text{ m/s}^2
    a_c = \frac{v^2}{r^2} = \frac{(12)^2}{(30)^2} = 0.16 \text{ m/s}^2
    a_c = v \times r = 12 \times 30 = 360 \text{ m/s}^2
    120s
  • Q9
    120s
  • Q10
    A bicycle wheel has a radius of 0.4 meters. If it has a linear velocity of 4 meters per second, what is its angular velocity in radians per second?
    20 radians per second
    10 radians per second
    8 radians per second
    5 radians per second
    120s
  • Q11
    120s
  • Q12
    In uniform circular motion, which of the following quantities remains constant?
    Velocity
    Speed
    Net force
    Centripetal acceleration
    30s
  • Q13
    What is the direction of the centripetal force acting on an object in uniform circular motion?
    In the direction of the velocity
    Tangential to the motion
    Toward the center of the circle
    Away from the center of the circle
    30s
  • Q14
    If the radius of a circular path is doubled while maintaining the same speed, what happens to the centripetal acceleration?
    It is halved
    It becomes zero
    It remains the same
    It is doubled
    60s
  • Q15
    In uniform circular motion, how does the net force compare to the centripetal force?
    The net force is equal to the centripetal force
    The net force is less than the centripetal force
    The net force is greater than the centripetal force
    The net force is zero
    30s

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