HomeworkLib
Question

A father fashions a swing for his children out of a long rope that he fastens...

A father fashions a swing for his children out of a long rope that he fastens to the limb of a tall tree. As one of the children swings from this rope that is 6.40 m long, his tangential speed at the bottom of the swing is 7.45 m/s. What is the centripetal acceleration, in m/s2, of the child at the bottom of the swing?

science   physics   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1

When an object moving in a circular motion of radius R with speed v, the acceleration of the object is

The acceleration is due to change in direction of the velocity of object, and it is called centripetal acceleration.

In this question a child undergoes a motion in a circular arc centered at the point where the rope is fastened. The radius of the arc is approximately the length rope. The speed at the bottom is v=7.45m/s, so the centripetal acceleration is

The force points in the upward direction along the rope. The centripetal force is provided by the net force of tension in the rope and the weight of the child.

0 0
Add a comment
Know the answer?
Add Answer to:
A father fashions a swing for his children out of a long rope that he fastens...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions

  • A 32.9-kg child swings on a rope with a length of 6.11 m that is hanging...

    A 32.9-kg child swings on a rope with a length of 6.11 m that is hanging from a tree. At the bottom of the swing, the child is moving at a speed of 4.2 m/s. What is the tension in the rope?

  • A child is sitting on the sear of a swing with ropes 5m long. Her father...

    A child is sitting on the sear of a swing with ropes 5m long. Her father pulls the swing back until the ropes make a 30 degree angle with the verticle and then releases the swing. If air resistance is neglected, what is the speed of the child at the bottom of the arc of the swing when the ropes are vertical. A: 1.8 m/s B: 7.3 m/s C: 1.4 m/s D: 6.3 m/s E: 3.6 m/s

  • An athlete swings a 3.70 kg ball horizontally on the end of a rope. The ball...

    An athlete swings a 3.70 kg ball horizontally on the end of a rope. The ball moves in a circle of radius 0.970 m at an angular speed of 0.740 rev/s. (a) What is the tangential speed of the ball? m/s (b) What is its centripetal acceleration? m/s2 (c) If the maximum tension the rope can withstand before breaking is 115 N, what is the maximum tangential speed the ball can have? m/s

  • Logan is standing on a dock holding onto a rope swing that is ?=4.30 m long...

    Logan is standing on a dock holding onto a rope swing that is ?=4.30 m long and suspended from a tree branch above. The rope is taut and makes a 30.0° angle with the vertical. Logan swings in a circular arc, passing through the bottom of the arc then releasing the rope when it makes an angle of ?=13.1° with the perpendicular. If Logan's mass is 71.0 kg , how much work ?grav does gravity do on him up to...

  • 2. A 40.0 kg child plays on a swing that is made of a tire as...

    2. A 40.0 kg child plays on a swing that is made of a tire as a seat and one long rope that is 4.00 m long from a pivot. a) What is the magnitude of the torque from the child's weight when the rope is at a 20.0° angle from the vertical? b) If the speed at 20.0° is 8.00 m/s, how much centripetal acceleration does the child experience?

  • 2. A 40.0 kg child plays on a swing that is made of a tire as...

    2. A 40.0 kg child plays on a swing that is made of a tire as a seat and one long rope that is 4.00 m long from a pivot. a) What is the magnitude of the torque from the child's weight when the rope is at a 20.0° angle from the vertical? b) If the speed at 20.0° is 8.00 m/s, how much centripetal acceleration does the child experience?

  • A 56-kg student runs at 6.4 m/s , grabs a hanging 10.0-m-long rope, and swings out...

    A 56-kg student runs at 6.4 m/s , grabs a hanging 10.0-m-long rope, and swings out over a lake. He releases the rope when his velocity is zero. What is the angle θ when he releases the rope? What is the tension in the rope just before he releases it? What is the maximum tension in the rope during the swing?

  • A 35.5-kg child swings in a swing supported by two ropes, each 3.30 m long. Find...

    A 35.5-kg child swings in a swing supported by two ropes, each 3.30 m long. Find the tension in each rope if the speed of the child at the lowest point of the swing is 6.00 m/s. (ignore the mass of the seat.)

  • A 37.0-kg child swings in a swing supported by two ropes, each 3.60 m long. Find...

    A 37.0-kg child swings in a swing supported by two ropes, each 3.60 m long. Find the tension in each rope if the speed of the child at the lowest point of the swing is 5.20 m/s. (ignore the mass of the seat.)

  • The "Screaming Swing" is a carnival ride that is - not surprisingly - a giant swing....

    The "Screaming Swing" is a carnival ride that is - not surprisingly - a giant swing. It's actually two swings moving in opposite directions. At the bottom of its arc, a rider in one swing is moving at 30 m/s with respect to the ground in a 54-m-diameter circle. The rider in the other swing is moving in a similar circle at the same speed, but in the exact opposite direction. Part A What is the acceleration, in m/s2, that...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT