A tire 0.400 m in radius rotates at a constant rate of 170 rev/min. Find the speed of a small stone lodged in the tread of the tire (on its outer edge). (Hint: In one revolution, the stone travels a distance equal to the circumference of its path, 2лr.) m/s What is the acceleration of the stone? m/s² O away from the center of the path O tangent to the path O toward the center of the path

A tire 0.400 m in radius rotates at a constant rate of 170 rev/min. Find the speed of a small stone lodged in the tread of the tire (on its outer edge). (Hint: In one revolution, the stone travels a distance equal to the circumference of its path, 2лr.) m/s What is the acceleration of the stone? m/s² O away from the center of the path O tangent to the path O toward the center of the path

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter2: Vectors

Section: Chapter Questions

Problem 51P: In an attempt to escape a desert island, a castaway builds a raft and sets out to sea. The wind...

See similar textbooks

Similar questions

Check Your Understanding Verify that vector v V obtained in Example 2.14 is indeed a unit vector by computing its magnitude. If the convoy in Example 2.8 was moving across a desert flatland—that is, it the third component of its velocity was zero—what is the unit vector of its direction of motion? Which geographic direction does it represent?
An experimental jet rocket travels around Earth along its equator just above its surface. At what speed must the jet travel if the magnitude of its acceleration is g ?
Starting at the island of Moi in an unknown archipelago, a fishing boat makes a round trip with two stops at the islands of Noi and Poi. It sails from Moi for 4.76 nautical miles (nmi) in a direction 37 north of east to Noi. From Noi, it sails 69 west of north to Poi. On its return leg from Poi, it sails 28 east of south. What distance does the boat sail between Noi and Poi? What distance does it sail between Moi and Poi? Express your answer both in nautical miles and in kilometei. Note: 1 nmi = 1852m.
Explain why centripetal acceleration changes the direction of velocity in circular motion but not its magnitude.
In an attempt to escape a desert island, a castaway builds a raft and sets out to sea. The wind shifts a great deal during the day, and she is blown along the following straight lines: 2.50 km and 45.0 north of west, then 4.70 km and 60.0 south of east, then 130 km and 25.0 of west, then 5.10 km due east, then 1.70 km and 5.00 east of north, then 7.20 km and 55.0 south of west, and finally 2.80 km and 10.0 north of east. Use the analytical method to find the resultant vector of all her displacement vectors. What is its magnitude and direction?
A trapper walks a 5.0-lan straight-line distance from her cabin to the lake, as shown in the following figure. Determine the east and north components of her displacement vector. How many more kilometers would she have to walk if she walked along the component displacements? What is her displacement vector?
Explain why a vector cannot have a component greater than its own magnitude.
How lond does it take a plane, traveling at a speed of 110 m/s to fly once a round the circle whose radius is 2850?
The moon revolves about the Earth, making a complete revolution in 27.3 days. Assume that the orbitis circular and has radius r=238,000 miles. What is the centripetal acceleration of the moon?
An ant crawls on the surface of a ball of radius b in such a manner that the ant's motion is given in spherical coordinates by the equations r = b; phi = omega*t; theta = pi/2 * [1 + 1/4 * cos(400t)] Find the speed of the ant as a function of the time t. What sort of path is represented? by the above equations ?
For the triangle shown in Figure P1.45, what are (a) thelength of the un known side, (b) the tangent of θ, and (c) thesine of ϕ?
A point is moving along the curve given at. R(t)=(ln sec t)i+ tj where.>=t/2 T<=-t/2 find the speed,until tanget vector,until normal vector ,curvture