PHYSICS
posted by Jadelyn
A boy is whirling around a stone tied at the end of a 0.55 m long string at constant angular speed of 5 revolutions per second in a plane perpendicular to the ground. The string breaks when it is making an angle of 53 degrees above the horizontal and the stone is on the way up. The stone is 1.15 m above the ground when this happens. How long does the stone take to hit the ground after the string breaks?
i tried and I got 2.8972 seconds but it was wrong =(
Thank you!

drwls
When the stone takes off, it starts out at at angle of 37 degrees above the horizontal. (That is the complement of 53 degrees). The speed is initially
2*pi*0.55*5 = 17.28 m/s, and the vertical speed component is initially
17.28 sin 37 = 10.40 m/s
The stone spends 10.40/g = 1.06 s going up and an equal time going down, to the elevation where it started, for a total of 2.12 s in the air. You will need to add additional time to that to account for traveling from 0.55 + 0.55 sin 53 = 0.989 meters (the release altitude) to the ground. That is about 0.09 seconds more, for a total of 2.21 seconds 
Jadelyn
Thank you so much!!!
I took the sin of 53 deg instead of 37 deg
Respond to this Question
Similar Questions

Physics/Math
A certain string can withstand a maximum tension of 43 N without breaking. A child ties a 0.37 kg stone to one end and, holding the other end, whirls the stone in a vertical circle of radius 0.91 m, slowly increasing the speed until … 
physics
A certain string can withstand a maximum tension of 40 N without breaking. A child ties a 0.37 kg stone to one end and, holding the other end, whirls the stone in a vertical circle of radius 0.91 m, slowly increasing the speed until … 
Physics
A boy is whirling around a stone tied at the end of a 0.71 m long string at constant angular speed of 4 revolutions per second in a plane perpendicular to the ground. The string breaks when it is making an angle of 54 degrees above … 
p
A certain string can withstand a maximum tension of 41 N without breaking. A child ties a 0.35 kg stone to one end and, holding the other end, whirls the stone in a vertical circle of radius 0.91 m, slowly increasing the speed until … 
physics
A stone tied to the end of a string, 80 cm long, is whirled in a horizontal circle with a constant speed. If the stone makes 14 revolutions in 25 seconds what is the magnitude and direction of the acceleration of the stone? 
physics
a stone is tied to the end of a string and is swung with a constant speed around a horizontal circle with a radius of 1.5m. if it makes two complete revolutions each second, what is the magnitude of its acceleration? 
physics
A mass 5kg is whirled in a horizontal circle @ 1 end of a string 50cm long,the other end being fixed. If the string when hanging vertically will just support a load of 200kg mass without breaking,find the maximum whirling speed in … 
PHYSICS
8) A rock of mass 400 g is tied to one end of a string that is 2.0 m in length and swung around in a horizontal circle. It takes 2 s to complete one circle. a. Find the angular velocity of the rock just as the string breaks. b. At … 
physics
a .150kg object tied to a string is whirled in a horizontal circle ata constant angular speed of 3.50 revolutions per second. the tension is the string is 75newtons. what is the length of the string? 
science
a stone weighing 0.2kg tied to the end of the string 0.6m long whorld in a horizontal circle in a speed of 150 revolutions per minute. calculte the tension and string