An ant clings to the outside edge of the tire of an exercise bicycle. When you s

Question

An ant clings to the outside edge of the tire of an exercise bicycle. When you start pedaling, the ant's speed increases from zero to 12 m/s in 3.3 s . The wheel's rotational acceleration is 11 rad/s2 .

What physical quantities can be determined from this information?

Check all that apply.

1The angle the ant has turned during this time interval. 2The rotational momentum of the ant. 3 The radius of the tire. 4The average tangential acceleration of the tire. 5 The rotational momentum of the tire. 6The distance the ant has traveled along the arc during this time interval.

Explanation / Answer

here the formulas are

angular speed = angular displacement / time

then the linear speed v = r * angular displacement / time

then

linear speed = radius * angular speed

then

the angular acceleration is alpha = dw / dt

v = r * w

alpha = d ( v/r) /dt

alpha = dv / rdt

then angular acceleration with linear acceleration

alpha = a / r

a = r * alpha

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