Soru
Amass m=8,5 kg ball is swinging in a vertical circle of radius r=23cm If the constant speed of the ball is v=5m/s Determine the tension in the string at the bottom of the circle in units of N(Newton). Take g=9.8m/s^2 and round off your result to 1 decimal place. Yanit: square
Çözüm
4.3
(214 Oylar)
Orhan
Profesyonel · 6 yıl öğretmeni
Uzman doğrulaması
Cevap
To determine the tension in the string at the bottom circle, we need to consider both the centripetal force and the gravitational force acting on the ball.At the bottom of the circle, the tension in the string is the sum of the centripetal force and the gravitational force.The centripetal force can be calculated using the formula:
where
is the mass of the ball,
is the constant speed of the ball, and
is the radius of the circle.The gravitational force can be calculated using the formula:
where
is the mass of the ball and
is the acceleration due to gravity.The total tension in the string at the bottom of the circle is the sum of the centripetal force and the gravitational force:
Substituting the given values:
Rounding off to 1 decimal place, the tension in the string at the bottom of the circle is approximately 942.4 N.