Two different balls are rolled (without slipping) toward a common finish line. T

Question

Two different balls are rolled (without slipping) toward a common finish line. Their angular speeds are shown to the right. The first ball, which has a radius of 0.0538 m, is rolling along a conveyor belt which is moving at 1.69 m/s and starts out 9.02 m from the finish line. The second ball has a radius of 0.0448 m and is rolling along the stationary floor. If the second ball starts out 6.29 m from the finish line, how long does each ball take to reach the finish line?

ball 1 time (s)?

ball 2 time (s)?

What angular speed would the losing ball have needed to cross the finish line at the same time as the winning ball?

Explanation / Answer

let t be the time

so for first, 9.02 = [1.69+(omega1)(0.0538)] t1

for second, 6.29 = [ 0 + omega2(0.0448)]t2

so we can find t1 and t2

here second ball is covering distance in t1 time so

6.29 = [0+omega(0.0448)]t1 , here t1 known so we can find omega

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.