Anonymous
Anonymous asked in Science & MathematicsPhysics · 4 weeks ago

Two pulleys are connected by a belt that goes over the rim of each. One pulley has a radius of 35cm and rotates at 425 rpm. The other...?

Two pulleys are connected by a belt that goes over the rim of each. One pulley has a radius of 35cm and rotates at 425 rpm. The other pulley is rotating at 700 rpm. Find the linear velocity of the belt in cm/sec, and the radius of the second pulley.

only use v=rw

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  • Whome
    Lv 7
    4 weeks ago
    Favorite Answer

    v = rω

    v = 35 cm(425 rev/min (2π radian/rev) / (60 s/min))

    v = 1557.706... ≈ 1560 cm/s  ◄

                  v = rω

    1557.706 = r(700 rev/min (2π radian/rev) / (60 s/min))

                  r = 0.2125 m ≈ 21¼ cm   ◄

  • 4 weeks ago

    425 rev/min x 1 min/60s  = 7.083 rev/s

    1 rev = 1 circumference = 70π cm

    70π cm/rev x 7.083 rev/s = 1558 cm/s (linear speed of first pulley and second pulley and belt)

    for second pulley, assuming belt is not slipping.

    R = radius

    1 rev = 1 circumference = 2πR cm

    700 rpm x 1 min/60s  = 11.67 rev/s

    11.67 rev/s x 2πR cm/rev = 73.30(R) cm/s

    1558  =  73.30(R)

    R = 21.2 cm

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