A steering mirror for a telescope has a maximum angular acceleration of 100 rad/sec^2 and hard...

A steering mirror for a telescope has a maximum angular acceleration of 100 rad/sec^2 and hard stops at +/- 30 the software controlling it runs at 200 hz. If the mirror hits the hard stop at faster than 15 rad/sec, it can damage the hard stops. To prevent this, a “soft stop” is implemented in its software.

What is the largest value the soft stop can be set at that will ensure no damage is done to the hard stops in the event that the controller goes unstable and starts commanding the maximum acceleration? If the sample rate is increased to 500 Hz “, how close to the hardstops can the soft stops be safely set?

Provide answers in degrees to 4 significant figures.

Solutions

Expert Solution

genius_generous answered 1 year ago

Next > < Previous

Related Solutions

At t = 0, a flywheel has an angular velocity of 10 rad/s, an angular acceleration...

At t = 0, a flywheel has an angular velocity of 10 rad/s, an angular acceleration of -0.44 rad/s2, and a reference line at ?0 = 0. (a) Through what maximum angle ?max will the reference line turn in the positive direction? What are the (b) first and (c) second times the reference line will be at ? = ?max/4? At what (d) negative time and (e) positive time will the reference line be at ? = -8.0 rad?

At t = 0, a flywheel has an angular velocity of 6.2 rad/s, an angular acceleration...

At t = 0, a flywheel has an angular velocity of 6.2 rad/s, an angular acceleration of -0.18 rad/s2, and a reference line at θ0 = 0. (a) Through what maximum angle θmax will the reference line turn in the positive direction? What are the (b) first and (c) second times the reference line will be at θ = θmax/5? At what (d) negative time and (e) positive time will the reference line be at θ = -7.7 rad?

A wheel has an initial angular velocity of 1 rad/s and undergoes an angular acceleration of...

A wheel has an initial angular velocity of 1 rad/s and undergoes an angular acceleration of 10 rad/s^2. (a) How many radians does it rotate in 4 sec? (b) What is its angular velocity at this time?

A wheel rotates with a constant angular acceleration of 3.0 rad/. If the angular speed of...

A wheel rotates with a constant angular acceleration of 3.0 rad/. If the angular speed of the wheel is 2 rad/s at t = 0, through what angular displacement does the wheel rotate in 2 s? 10 rad. 6 rad. 15 rad. 4 rad. 12 rad. Based on question number 3, through how many revolutions has the wheel turned during this time interval? 4 rev. 3 rev. 1.6 rev. 5 rev. 2 rev. Based on question number 3, what is...

A bicyclist starting at rest produces a constant angular acceleration of 1.6 rad/s^2 for wheels that...

A bicyclist starting at rest produces a constant angular acceleration of 1.6 rad/s^2 for wheels that are 38 cm in radius. What is the bicycles linear acceleration? What is the angular speed of the wheels when the bicyclist reaches 11m/s? How many radians have the wheels turned through in that time? How far has the bicycle traveled?

1. A flywheel is initially rotating at 30 rad/s and has a constant angular acceleration. After...

1. A flywheel is initially rotating at 30 rad/s and has a constant angular acceleration. After 8.0 s it has rotated through 460 rad. Its angular acceleration in rad/s is: 2.Ten seconds after an electric fan is turned on, the fan rotates at 6000 rev/min. Its average angular acceleration in rad/s2 is: 3.The rotational inertia of a disk about its axis is 0.70 kgˑm2. When a 2.0-kg weight is added to its rim, 0.50 m from the axis, the rotational...

The angular acceleration of a shaft is given by α = -0.20ω rad/s2 , where ω...

The angular acceleration of a shaft is given by α = -0.20ω rad/s2 , where ω represents the angular velocity of the shaft. If at t = 0 the angular velocity ω of the shaft is 18 rad/s, determine (a) the number of revolutions the shaft will execute before coming to rest, (b) the time required for the shaft to come to rest, (c) the time required for the angular velocity of the shaft to be reduced to 1 rad/s

A wheel, starting from rest, has a constant angular acceleration of 0.1 rad/s2. In a 2.4-s...

A wheel, starting from rest, has a constant angular acceleration of 0.1 rad/s2. In a 2.4-s interval, it turns through an angle of 120 rad. How long has the wheel been in motion at the start of this 2.4-s interval?

a steering wheel whose diameter is 2.44m has an angular velocity that decreases uniformly from 100...

a steering wheel whose diameter is 2.44m has an angular velocity that decreases uniformly from 100 rpm at t = 0, until it stops when t = 4s. calculate tangential and normal acceleration of a point located on the edge of the steering wheel when t = 2s

A wheel, starting from rest, rotates with a constant angular acceleration of 1.40 rad/s2. During a...

A wheel, starting from rest, rotates with a constant angular acceleration of 1.40 rad/s2. During a certain 6.00 s interval, it turns through 36.6 rad. (a) How long had the wheel been turning before the start of the 6.00 s interval? (b) What was the angular velocity of the wheel at the start of the 6.00 s interval?

Subjects