The ability of the human eye to rapidly rotate was studied using contact lenses fitted with accelerometers. While a subject, whose eyeball has radius 1.25 cm, watches a moving object her eyeball rotates through 20.0° in a time interval of 69.9 ms. What is the magnitude of the average angular velocity of the eye?

The ability of the human eye to rapidly rotate was studied using contact lenses fitted with accelerometers. While a subject, whose eyeball has radius 1.25 cm, watches a moving object her eyeball rotates through 20.0° in a time interval of 69.9 ms. What is the magnitude of the average angular velocity of the eye?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter3: Motion In Two Dimensions

Section: Chapter Questions

Problem 30P: A point on a rotating turntable 20.0 cm from the center accelerates from rest to a final speed of...

See similar textbooks

Similar questions

The propeller of an aircraft accelerates from rest with an angular acceleration = 4t + 6, where is in rad/s2 and t isin seconds. What is the angle in radians through which thepropeller rotates from t = 1.00 s to t = 6.00 s?
A disk 8.00 cm in radius rotates at a constant rate of 1200 rev/min about its central axis. Determine (a) its angular speed in radians per second, (b) the tangential speed at a point 3.00 cm from its center, (c) the radial acceleration of a point on the rim, and (d) the total distance a point on the rim moves in 2.00 s.
Jeff, running outside to play, pushes on a swinging door, causing its motion to be briefly described by = t2 + 0.800 t + 2.00,where t is in seconds and is in radians. At t = 0 and at t = 1.50s, what are the a. angular position, b. angular speed, and c. angularacceleration of the door?
A Ferris wheel has a radius of 30 m and its centre is 32 m above the ground. It rotates once every 48 s. Ethan gets on the Feris wheel at the lowest point and then the wheel starts to rotate. The amount of time it takes Ethan to reach 38 m above the ground for the first time, to the nearest tenth of a second, is S. Your answer
The earth's radius is about 4000 miles. Kampala, the capital of Uganda, and Singapore are both nearly on the equator. The distance between them is 5000 miles as measured along the earth's surface. The flight from Kampala to Singapore takes 7.1 hours. What is the plane's angular velocity relative to the earth's surface? Give your answer in degrees/hr.
The ability of the human eye to rapidly rotate was studied using contact lenses fitted with accelerometers. While a subject, whose eyeball has radius 1.25 cm, watches a moving object her eyeball rotates through 20.0 degrees in a time interval of 58.5ms. What is the magnitude of the average angular velocity of the eye? rad/s.
A wheel rotates through an angle of 324° as it slows down from 87.4 rpm to 18.7 rpm (revolutions per minute). What is the magnitude of the average angular acceleration of the wheel in rad/s2?
A disk of radius 2.25 m rotates about its axis. Points on the rim of the disk undergo tangential acceleration of magnitude 1.81 m/s?. At a particular time, the rim has a tangential speed of 1.67 m/s. At a time 0.867 s later, what is the tangential speed v of a point on the rim, the magnitude of the point's radial acceleration a,, and the magnitude of its total acceleration Arot? U = m/s ar = m/s? Atot = m/s?
The ability of the human eye to rapidly rotate was studied using contact lenses fitted with accelerometers. While a subject, whose eyeball has radius 1.25 cm, watches a moving object her eyeball rotates through 20.0° in a time interval of 69.6 ms. a. What is the magnitude of the average angular velocity of the eye? asnwer in rad/s b. Assume that the eye starts at rest, rotates with a constant angular acceleration during the first half of the interval, and then the rotation slows with a constant angular acceleration during the second half until it comes to rest. What is the magnitude of the angular acceleration of the eye? answer in rad/s^2 c. What tangential acceleration would the contact-lens accelerometers record in this case? answer in m/s^2
A disk of radius 3.00 m rotates like a merry-go-round as given by the function θ = 2.00t^4 + 6.00t^2, where θ is in radians and t is in seconds. What is the radial acceleration (m/s2) of a point on the rim t = 2.00 s?
Malik boards a Ferris wheel at the 3-o'clock position and rides the Ferris wheel for multiple revolutions. The Ferris wheel rotates at a constant angular speed of 4.6 radians per minute and has a radius of 45 feet. The center of the Ferris wheel is 51 feet above the ground. Let t represent the number of minutes since the Ferris wheel started rotating. Write an expression (in terms of t) to represent the varying number of radians θ Malik has swept out since the ride started. Write an expression (in terms of t) to represent Malik's height (in feet) above the center of the Ferris wheel. Write an expression (in terms of t) to represent Malik's height (in feet) above the ground.
A particle moves along a circular path of radius 300 mm. If its angular velocity is Ò = (2t2) rad/s, where t is in seconds, determine the magnitude of the particle's acceleration when t = 2 s.